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Finding the Fourth Proportional to 4,294.85, 6,434.11 and 2,447.24

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Solution

The fourth proportional to 4,294.85, 6,434.11 and 2,447.24 is: 3,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.85 : 6,434.11 = 2,447.24 : x
  2. Step 2: Convert to fraction form
    4,294.85/6,434.11 = 2,447.24/x
  3. Step 3: Cross multiply
    4,294.85x = 6,434.11 × 2,447.24
  4. Step 4: Simplify right side
    4,294.85x = 15,745,811.36
  5. Step 5: Solve for x
    x = 15,745,811.36/4,294.85
  6. Step 6: Final answer
    x = 3,666.21

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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.