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Finding the Fourth Proportional to 3,423.70, 5,137.13 and 1,344.26

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Solution

The fourth proportional to 3,423.70, 5,137.13 and 1,344.26 is: 2,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.70 : 5,137.13 = 1,344.26 : x
  2. Step 2: Convert to fraction form
    3,423.70/5,137.13 = 1,344.26/x
  3. Step 3: Cross multiply
    3,423.70x = 5,137.13 × 1,344.26
  4. Step 4: Simplify right side
    3,423.70x = 6,905,605.97
  5. Step 5: Solve for x
    x = 6,905,605.97/3,423.70
  6. Step 6: Final answer
    x = 2,017.00

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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.