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Finding the Fourth Proportional to 6,577.56, 9,074.70 and 3,924.54

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Solution

The fourth proportional to 6,577.56, 9,074.70 and 3,924.54 is: 5,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.56 : 9,074.70 = 3,924.54 : x
  2. Step 2: Convert to fraction form
    6,577.56/9,074.70 = 3,924.54/x
  3. Step 3: Cross multiply
    6,577.56x = 9,074.70 × 3,924.54
  4. Step 4: Simplify right side
    6,577.56x = 35,614,023.14
  5. Step 5: Solve for x
    x = 35,614,023.14/6,577.56
  6. Step 6: Final answer
    x = 5,414.47

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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.