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Finding the Fourth Proportional to 4,633.62, 6,400.53 and 3,452.64

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Solution

The fourth proportional to 4,633.62, 6,400.53 and 3,452.64 is: 4,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.62 : 6,400.53 = 3,452.64 : x
  2. Step 2: Convert to fraction form
    4,633.62/6,400.53 = 3,452.64/x
  3. Step 3: Cross multiply
    4,633.62x = 6,400.53 × 3,452.64
  4. Step 4: Simplify right side
    4,633.62x = 22,098,725.90
  5. Step 5: Solve for x
    x = 22,098,725.90/4,633.62
  6. Step 6: Final answer
    x = 4,769.21

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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.