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Finding the Fourth Proportional to 5,725.92, 8,543.35 and 5,024.71

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Solution

The fourth proportional to 5,725.92, 8,543.35 and 5,024.71 is: 7,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.92 : 8,543.35 = 5,024.71 : x
  2. Step 2: Convert to fraction form
    5,725.92/8,543.35 = 5,024.71/x
  3. Step 3: Cross multiply
    5,725.92x = 8,543.35 × 5,024.71
  4. Step 4: Simplify right side
    5,725.92x = 42,927,834.98
  5. Step 5: Solve for x
    x = 42,927,834.98/5,725.92
  6. Step 6: Final answer
    x = 7,497.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.