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Finding the Fourth Proportional to 4,613.90, 6,902.31 and 3,565.96

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Solution

The fourth proportional to 4,613.90, 6,902.31 and 3,565.96 is: 5,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.90 : 6,902.31 = 3,565.96 : x
  2. Step 2: Convert to fraction form
    4,613.90/6,902.31 = 3,565.96/x
  3. Step 3: Cross multiply
    4,613.90x = 6,902.31 × 3,565.96
  4. Step 4: Simplify right side
    4,613.90x = 24,613,357.48
  5. Step 5: Solve for x
    x = 24,613,357.48/4,613.90
  6. Step 6: Final answer
    x = 5,334.62

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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.