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Finding the Fourth Proportional to 6,575.58, 9,077.13 and 3,922.56

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Solution

The fourth proportional to 6,575.58, 9,077.13 and 3,922.56 is: 5,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.58 : 9,077.13 = 3,922.56 : x
  2. Step 2: Convert to fraction form
    6,575.58/9,077.13 = 3,922.56/x
  3. Step 3: Cross multiply
    6,575.58x = 9,077.13 × 3,922.56
  4. Step 4: Simplify right side
    6,575.58x = 35,605,587.05
  5. Step 5: Solve for x
    x = 35,605,587.05/6,575.58
  6. Step 6: Final answer
    x = 5,414.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.