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Finding the Fourth Proportional to 3,138.52, 4,331.18 and 1,741.28

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Solution

The fourth proportional to 3,138.52, 4,331.18 and 1,741.28 is: 2,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.52 : 4,331.18 = 1,741.28 : x
  2. Step 2: Convert to fraction form
    3,138.52/4,331.18 = 1,741.28/x
  3. Step 3: Cross multiply
    3,138.52x = 4,331.18 × 1,741.28
  4. Step 4: Simplify right side
    3,138.52x = 7,541,797.11
  5. Step 5: Solve for x
    x = 7,541,797.11/3,138.52
  6. Step 6: Final answer
    x = 2,402.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.