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Finding the Fourth Proportional to 6,126.22, 8,454.28 and 3,473.57

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Solution

The fourth proportional to 6,126.22, 8,454.28 and 3,473.57 is: 4,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.22 : 8,454.28 = 3,473.57 : x
  2. Step 2: Convert to fraction form
    6,126.22/8,454.28 = 3,473.57/x
  3. Step 3: Cross multiply
    6,126.22x = 8,454.28 × 3,473.57
  4. Step 4: Simplify right side
    6,126.22x = 29,366,533.38
  5. Step 5: Solve for x
    x = 29,366,533.38/6,126.22
  6. Step 6: Final answer
    x = 4,793.58

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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.