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Finding the Fourth Proportional to 4,294.69, 6,438.88 and 1,371.31

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Solution

The fourth proportional to 4,294.69, 6,438.88 and 1,371.31 is: 2,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.69 : 6,438.88 = 1,371.31 : x
  2. Step 2: Convert to fraction form
    4,294.69/6,438.88 = 1,371.31/x
  3. Step 3: Cross multiply
    4,294.69x = 6,438.88 × 1,371.31
  4. Step 4: Simplify right side
    4,294.69x = 8,829,700.53
  5. Step 5: Solve for x
    x = 8,829,700.53/4,294.69
  6. Step 6: Final answer
    x = 2,055.96

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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.