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Finding the Fourth Proportional to 3,502.68, 4,832.17 and 2,507.60

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Solution

The fourth proportional to 3,502.68, 4,832.17 and 2,507.60 is: 3,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.68 : 4,832.17 = 2,507.60 : x
  2. Step 2: Convert to fraction form
    3,502.68/4,832.17 = 2,507.60/x
  3. Step 3: Cross multiply
    3,502.68x = 4,832.17 × 2,507.60
  4. Step 4: Simplify right side
    3,502.68x = 12,117,149.49
  5. Step 5: Solve for x
    x = 12,117,149.49/3,502.68
  6. Step 6: Final answer
    x = 3,459.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.