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Finding the Fourth Proportional to 5,434.65, 8,143.07 and 5,232.38

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Solution

The fourth proportional to 5,434.65, 8,143.07 and 5,232.38 is: 7,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.65 : 8,143.07 = 5,232.38 : x
  2. Step 2: Convert to fraction form
    5,434.65/8,143.07 = 5,232.38/x
  3. Step 3: Cross multiply
    5,434.65x = 8,143.07 × 5,232.38
  4. Step 4: Simplify right side
    5,434.65x = 42,607,569.73
  5. Step 5: Solve for x
    x = 42,607,569.73/5,434.65
  6. Step 6: Final answer
    x = 7,839.98

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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.