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Finding the Fourth Proportional to 3,432.65, 5,151.06 and 3,153.83

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Solution

The fourth proportional to 3,432.65, 5,151.06 and 3,153.83 is: 4,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.65 : 5,151.06 = 3,153.83 : x
  2. Step 2: Convert to fraction form
    3,432.65/5,151.06 = 3,153.83/x
  3. Step 3: Cross multiply
    3,432.65x = 5,151.06 × 3,153.83
  4. Step 4: Simplify right side
    3,432.65x = 16,245,541.80
  5. Step 5: Solve for x
    x = 16,245,541.80/3,432.65
  6. Step 6: Final answer
    x = 4,732.66

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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.