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Finding the Fourth Proportional to 4,294.13, 6,441.36 and 1,332.88

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Solution

The fourth proportional to 4,294.13, 6,441.36 and 1,332.88 is: 1,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.13 : 6,441.36 = 1,332.88 : x
  2. Step 2: Convert to fraction form
    4,294.13/6,441.36 = 1,332.88/x
  3. Step 3: Cross multiply
    4,294.13x = 6,441.36 × 1,332.88
  4. Step 4: Simplify right side
    4,294.13x = 8,585,586.29
  5. Step 5: Solve for x
    x = 8,585,586.29/4,294.13
  6. Step 6: Final answer
    x = 1,999.38

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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.