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Finding the Fourth Proportional to 5,152.61, 7,729.49 and 1,641.80

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Solution

The fourth proportional to 5,152.61, 7,729.49 and 1,641.80 is: 2,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.61 : 7,729.49 = 1,641.80 : x
  2. Step 2: Convert to fraction form
    5,152.61/7,729.49 = 1,641.80/x
  3. Step 3: Cross multiply
    5,152.61x = 7,729.49 × 1,641.80
  4. Step 4: Simplify right side
    5,152.61x = 12,690,229.83
  5. Step 5: Solve for x
    x = 12,690,229.83/5,152.61
  6. Step 6: Final answer
    x = 2,462.87

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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.