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Finding the Fourth Proportional to 4,229.40, 6,344.10 and 1,920.90

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Solution

The fourth proportional to 4,229.40, 6,344.10 and 1,920.90 is: 2,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.40 : 6,344.10 = 1,920.90 : x
  2. Step 2: Convert to fraction form
    4,229.40/6,344.10 = 1,920.90/x
  3. Step 3: Cross multiply
    4,229.40x = 6,344.10 × 1,920.90
  4. Step 4: Simplify right side
    4,229.40x = 12,186,381.69
  5. Step 5: Solve for x
    x = 12,186,381.69/4,229.40
  6. Step 6: Final answer
    x = 2,881.35

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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.