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Finding the Fourth Proportional to 4,329.62, 6,499.89 and 3,462.92

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Solution

The fourth proportional to 4,329.62, 6,499.89 and 3,462.92 is: 5,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.62 : 6,499.89 = 3,462.92 : x
  2. Step 2: Convert to fraction form
    4,329.62/6,499.89 = 3,462.92/x
  3. Step 3: Cross multiply
    4,329.62x = 6,499.89 × 3,462.92
  4. Step 4: Simplify right side
    4,329.62x = 22,508,599.08
  5. Step 5: Solve for x
    x = 22,508,599.08/4,329.62
  6. Step 6: Final answer
    x = 5,198.75

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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.