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Finding the Fourth Proportional to 4,462.38, 6,693.57 and 1,342.40

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Solution

The fourth proportional to 4,462.38, 6,693.57 and 1,342.40 is: 2,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.38 : 6,693.57 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    4,462.38/6,693.57 = 1,342.40/x
  3. Step 3: Cross multiply
    4,462.38x = 6,693.57 × 1,342.40
  4. Step 4: Simplify right side
    4,462.38x = 8,985,414.90
  5. Step 5: Solve for x
    x = 8,985,414.90/4,462.38
  6. Step 6: Final answer
    x = 2,013.59

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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.