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Finding the Fourth Proportional to 3,741.38, 5,160.08 and 3,292.28

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Solution

The fourth proportional to 3,741.38, 5,160.08 and 3,292.28 is: 4,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.38 : 5,160.08 = 3,292.28 : x
  2. Step 2: Convert to fraction form
    3,741.38/5,160.08 = 3,292.28/x
  3. Step 3: Cross multiply
    3,741.38x = 5,160.08 × 3,292.28
  4. Step 4: Simplify right side
    3,741.38x = 16,988,428.18
  5. Step 5: Solve for x
    x = 16,988,428.18/3,741.38
  6. Step 6: Final answer
    x = 4,540.69

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Why These Related Problems?

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