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Finding the Fourth Proportional to 3,653.96, 5,481.76 and 1,057.10

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Solution

The fourth proportional to 3,653.96, 5,481.76 and 1,057.10 is: 1,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.96 : 5,481.76 = 1,057.10 : x
  2. Step 2: Convert to fraction form
    3,653.96/5,481.76 = 1,057.10/x
  3. Step 3: Cross multiply
    3,653.96x = 5,481.76 × 1,057.10
  4. Step 4: Simplify right side
    3,653.96x = 5,794,768.50
  5. Step 5: Solve for x
    x = 5,794,768.50/3,653.96
  6. Step 6: Final answer
    x = 1,585.89

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.