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Finding the Fourth Proportional to 5,306.67, 7,957.27 and 2,382.47

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Solution

The fourth proportional to 5,306.67, 7,957.27 and 2,382.47 is: 3,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.67 : 7,957.27 = 2,382.47 : x
  2. Step 2: Convert to fraction form
    5,306.67/7,957.27 = 2,382.47/x
  3. Step 3: Cross multiply
    5,306.67x = 7,957.27 × 2,382.47
  4. Step 4: Simplify right side
    5,306.67x = 18,957,950.09
  5. Step 5: Solve for x
    x = 18,957,950.09/5,306.67
  6. Step 6: Final answer
    x = 3,572.48

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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.