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Finding the Fourth Proportional to 3,502.58, 5,214.98 and 3,453.55

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Solution

The fourth proportional to 3,502.58, 5,214.98 and 3,453.55 is: 5,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.58 : 5,214.98 = 3,453.55 : x
  2. Step 2: Convert to fraction form
    3,502.58/5,214.98 = 3,453.55/x
  3. Step 3: Cross multiply
    3,502.58x = 5,214.98 × 3,453.55
  4. Step 4: Simplify right side
    3,502.58x = 18,010,168.10
  5. Step 5: Solve for x
    x = 18,010,168.10/3,502.58
  6. Step 6: Final answer
    x = 5,141.97

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.