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Finding the Fourth Proportional to 6,554, 9,044.52 and 3,761.12

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Solution

The fourth proportional to 6,554, 9,044.52 and 3,761.12 is: 5,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554 : 9,044.52 = 3,761.12 : x
  2. Step 2: Convert to fraction form
    6,554/9,044.52 = 3,761.12/x
  3. Step 3: Cross multiply
    6,554x = 9,044.52 × 3,761.12
  4. Step 4: Simplify right side
    6,554x = 34,017,525.06
  5. Step 5: Solve for x
    x = 34,017,525.06/6,554
  6. Step 6: Final answer
    x = 5,190.35

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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.