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Finding the Fourth Proportional to 4,207.41, 6,304.20 and 2,559

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Solution

The fourth proportional to 4,207.41, 6,304.20 and 2,559 is: 3,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.41 : 6,304.20 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,207.41/6,304.20 = 2,559/x
  3. Step 3: Cross multiply
    4,207.41x = 6,304.20 × 2,559
  4. Step 4: Simplify right side
    4,207.41x = 16,132,447.80
  5. Step 5: Solve for x
    x = 16,132,447.80/4,207.41
  6. Step 6: Final answer
    x = 3,834.29

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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.