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Finding the Fourth Proportional to 5,725.27, 7,902.02 and 3,913.13

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Solution

The fourth proportional to 5,725.27, 7,902.02 and 3,913.13 is: 5,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.27 : 7,902.02 = 3,913.13 : x
  2. Step 2: Convert to fraction form
    5,725.27/7,902.02 = 3,913.13/x
  3. Step 3: Cross multiply
    5,725.27x = 7,902.02 × 3,913.13
  4. Step 4: Simplify right side
    5,725.27x = 30,921,601.98
  5. Step 5: Solve for x
    x = 30,921,601.98/5,725.27
  6. Step 6: Final answer
    x = 5,400.90

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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.