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Finding the Fourth Proportional to 4,294.34, 6,441.85 and 1,372.65

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Solution

The fourth proportional to 4,294.34, 6,441.85 and 1,372.65 is: 2,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.34 : 6,441.85 = 1,372.65 : x
  2. Step 2: Convert to fraction form
    4,294.34/6,441.85 = 1,372.65/x
  3. Step 3: Cross multiply
    4,294.34x = 6,441.85 × 1,372.65
  4. Step 4: Simplify right side
    4,294.34x = 8,842,382.96
  5. Step 5: Solve for x
    x = 8,842,382.96/4,294.34
  6. Step 6: Final answer
    x = 2,059.08

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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.