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Finding the Fourth Proportional to 4,114.80, 6,167.61 and 3,294.54

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Solution

The fourth proportional to 4,114.80, 6,167.61 and 3,294.54 is: 4,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 6,167.61 = 3,294.54 : x
  2. Step 2: Convert to fraction form
    4,114.80/6,167.61 = 3,294.54/x
  3. Step 3: Cross multiply
    4,114.80x = 6,167.61 × 3,294.54
  4. Step 4: Simplify right side
    4,114.80x = 20,319,437.85
  5. Step 5: Solve for x
    x = 20,319,437.85/4,114.80
  6. Step 6: Final answer
    x = 4,938.13

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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.