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Finding the Fourth Proportional to 5,725.92, 7,901.56 and 3,207.92

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Solution

The fourth proportional to 5,725.92, 7,901.56 and 3,207.92 is: 4,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.92 : 7,901.56 = 3,207.92 : x
  2. Step 2: Convert to fraction form
    5,725.92/7,901.56 = 3,207.92/x
  3. Step 3: Cross multiply
    5,725.92x = 7,901.56 × 3,207.92
  4. Step 4: Simplify right side
    5,725.92x = 25,347,572.36
  5. Step 5: Solve for x
    x = 25,347,572.36/5,725.92
  6. Step 6: Final answer
    x = 4,426.81

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