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Finding the Fourth Proportional to 5,234.65, 7,862.91 and 4,414.54

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Solution

The fourth proportional to 5,234.65, 7,862.91 and 4,414.54 is: 6,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.65 : 7,862.91 = 4,414.54 : x
  2. Step 2: Convert to fraction form
    5,234.65/7,862.91 = 4,414.54/x
  3. Step 3: Cross multiply
    5,234.65x = 7,862.91 × 4,414.54
  4. Step 4: Simplify right side
    5,234.65x = 34,711,130.71
  5. Step 5: Solve for x
    x = 34,711,130.71/5,234.65
  6. Step 6: Final answer
    x = 6,631.03

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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.