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Finding the Fourth Proportional to 6,055.52, 9,082.20 and 3,857.72

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Solution

The fourth proportional to 6,055.52, 9,082.20 and 3,857.72 is: 5,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.52 : 9,082.20 = 3,857.72 : x
  2. Step 2: Convert to fraction form
    6,055.52/9,082.20 = 3,857.72/x
  3. Step 3: Cross multiply
    6,055.52x = 9,082.20 × 3,857.72
  4. Step 4: Simplify right side
    6,055.52x = 35,036,584.58
  5. Step 5: Solve for x
    x = 35,036,584.58/6,055.52
  6. Step 6: Final answer
    x = 5,785.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.