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Finding the Fourth Proportional to 5,485.38, 7,569.82 and 3,001.38

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Solution

The fourth proportional to 5,485.38, 7,569.82 and 3,001.38 is: 4,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.38 : 7,569.82 = 3,001.38 : x
  2. Step 2: Convert to fraction form
    5,485.38/7,569.82 = 3,001.38/x
  3. Step 3: Cross multiply
    5,485.38x = 7,569.82 × 3,001.38
  4. Step 4: Simplify right side
    5,485.38x = 22,719,906.35
  5. Step 5: Solve for x
    x = 22,719,906.35/5,485.38
  6. Step 6: Final answer
    x = 4,141.90

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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.