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Finding the Fourth Proportional to 4,535.92, 6,801.72 and 1,613.44

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Solution

The fourth proportional to 4,535.92, 6,801.72 and 1,613.44 is: 2,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.92 : 6,801.72 = 1,613.44 : x
  2. Step 2: Convert to fraction form
    4,535.92/6,801.72 = 1,613.44/x
  3. Step 3: Cross multiply
    4,535.92x = 6,801.72 × 1,613.44
  4. Step 4: Simplify right side
    4,535.92x = 10,974,167.12
  5. Step 5: Solve for x
    x = 10,974,167.12/4,535.92
  6. Step 6: Final answer
    x = 2,419.39

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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.