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Finding the Fourth Proportional to 3,502.92, 5,253.14 and 1,945.28

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Solution

The fourth proportional to 3,502.92, 5,253.14 and 1,945.28 is: 2,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.92 : 5,253.14 = 1,945.28 : x
  2. Step 2: Convert to fraction form
    3,502.92/5,253.14 = 1,945.28/x
  3. Step 3: Cross multiply
    3,502.92x = 5,253.14 × 1,945.28
  4. Step 4: Simplify right side
    3,502.92x = 10,218,828.18
  5. Step 5: Solve for x
    x = 10,218,828.18/3,502.92
  6. Step 6: Final answer
    x = 2,917.23

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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.