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Finding the Fourth Proportional to 5,231.62, 7,217.10 and 3,464.71

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Solution

The fourth proportional to 5,231.62, 7,217.10 and 3,464.71 is: 4,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.62 : 7,217.10 = 3,464.71 : x
  2. Step 2: Convert to fraction form
    5,231.62/7,217.10 = 3,464.71/x
  3. Step 3: Cross multiply
    5,231.62x = 7,217.10 × 3,464.71
  4. Step 4: Simplify right side
    5,231.62x = 25,005,158.54
  5. Step 5: Solve for x
    x = 25,005,158.54/5,231.62
  6. Step 6: Final answer
    x = 4,779.62

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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.