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Finding the Fourth Proportional to 4,294.32, 6,441.84 and 1,372.68

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Solution

The fourth proportional to 4,294.32, 6,441.84 and 1,372.68 is: 2,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.32 : 6,441.84 = 1,372.68 : x
  2. Step 2: Convert to fraction form
    4,294.32/6,441.84 = 1,372.68/x
  3. Step 3: Cross multiply
    4,294.32x = 6,441.84 × 1,372.68
  4. Step 4: Simplify right side
    4,294.32x = 8,842,584.93
  5. Step 5: Solve for x
    x = 8,842,584.93/4,294.32
  6. Step 6: Final answer
    x = 2,059.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.