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Finding the Fourth Proportional to 4,229.40, 6,344.10 and 1,307.70

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Solution

The fourth proportional to 4,229.40, 6,344.10 and 1,307.70 is: 1,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.40 : 6,344.10 = 1,307.70 : x
  2. Step 2: Convert to fraction form
    4,229.40/6,344.10 = 1,307.70/x
  3. Step 3: Cross multiply
    4,229.40x = 6,344.10 × 1,307.70
  4. Step 4: Simplify right side
    4,229.40x = 8,296,179.57
  5. Step 5: Solve for x
    x = 8,296,179.57/4,229.40
  6. Step 6: Final answer
    x = 1,961.55

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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.