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Finding the Fourth Proportional to 5,234.04, 7,854.71 and 3,592.17

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Solution

The fourth proportional to 5,234.04, 7,854.71 and 3,592.17 is: 5,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.04 : 7,854.71 = 3,592.17 : x
  2. Step 2: Convert to fraction form
    5,234.04/7,854.71 = 3,592.17/x
  3. Step 3: Cross multiply
    5,234.04x = 7,854.71 × 3,592.17
  4. Step 4: Simplify right side
    5,234.04x = 28,215,435.66
  5. Step 5: Solve for x
    x = 28,215,435.66/5,234.04
  6. Step 6: Final answer
    x = 5,390.76

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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.