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Finding the Fourth Proportional to 4,294.26, 6,441.42 and 1,372.74

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Solution

The fourth proportional to 4,294.26, 6,441.42 and 1,372.74 is: 2,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.26 : 6,441.42 = 1,372.74 : x
  2. Step 2: Convert to fraction form
    4,294.26/6,441.42 = 1,372.74/x
  3. Step 3: Cross multiply
    4,294.26x = 6,441.42 × 1,372.74
  4. Step 4: Simplify right side
    4,294.26x = 8,842,394.89
  5. Step 5: Solve for x
    x = 8,842,394.89/4,294.26
  6. Step 6: Final answer
    x = 2,059.12

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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.