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Finding the Fourth Proportional to 3,423.92, 4,729.62 and 2,647.76

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Solution

The fourth proportional to 3,423.92, 4,729.62 and 2,647.76 is: 3,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.92 : 4,729.62 = 2,647.76 : x
  2. Step 2: Convert to fraction form
    3,423.92/4,729.62 = 2,647.76/x
  3. Step 3: Cross multiply
    3,423.92x = 4,729.62 × 2,647.76
  4. Step 4: Simplify right side
    3,423.92x = 12,522,898.65
  5. Step 5: Solve for x
    x = 12,522,898.65/3,423.92
  6. Step 6: Final answer
    x = 3,657.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.