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Finding the Fourth Proportional to 5,234.38, 7,854.99 and 4,812.02

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Solution

The fourth proportional to 5,234.38, 7,854.99 and 4,812.02 is: 7,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.38 : 7,854.99 = 4,812.02 : x
  2. Step 2: Convert to fraction form
    5,234.38/7,854.99 = 4,812.02/x
  3. Step 3: Cross multiply
    5,234.38x = 7,854.99 × 4,812.02
  4. Step 4: Simplify right side
    5,234.38x = 37,798,329.70
  5. Step 5: Solve for x
    x = 37,798,329.70/5,234.38
  6. Step 6: Final answer
    x = 7,221.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.