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Finding the Fourth Proportional to 5,541.38, 7,646.90 and 3,151.47

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Solution

The fourth proportional to 5,541.38, 7,646.90 and 3,151.47 is: 4,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.38 : 7,646.90 = 3,151.47 : x
  2. Step 2: Convert to fraction form
    5,541.38/7,646.90 = 3,151.47/x
  3. Step 3: Cross multiply
    5,541.38x = 7,646.90 × 3,151.47
  4. Step 4: Simplify right side
    5,541.38x = 24,098,975.94
  5. Step 5: Solve for x
    x = 24,098,975.94/5,541.38
  6. Step 6: Final answer
    x = 4,348.91

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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.