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Finding the Fourth Proportional to 5,434.47, 7,499.97 and 3,044.32

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Solution

The fourth proportional to 5,434.47, 7,499.97 and 3,044.32 is: 4,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.47 : 7,499.97 = 3,044.32 : x
  2. Step 2: Convert to fraction form
    5,434.47/7,499.97 = 3,044.32/x
  3. Step 3: Cross multiply
    5,434.47x = 7,499.97 × 3,044.32
  4. Step 4: Simplify right side
    5,434.47x = 22,832,289.92
  5. Step 5: Solve for x
    x = 22,832,289.92/5,434.47
  6. Step 6: Final answer
    x = 4,201.38

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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.