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Finding the Fourth Proportional to 3,502.39, 5,248.10 and 2,201.12

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Solution

The fourth proportional to 3,502.39, 5,248.10 and 2,201.12 is: 3,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.39 : 5,248.10 = 2,201.12 : x
  2. Step 2: Convert to fraction form
    3,502.39/5,248.10 = 2,201.12/x
  3. Step 3: Cross multiply
    3,502.39x = 5,248.10 × 2,201.12
  4. Step 4: Simplify right side
    3,502.39x = 11,551,715.50
  5. Step 5: Solve for x
    x = 11,551,715.50/3,502.39
  6. Step 6: Final answer
    x = 3,298.24

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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.