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Finding the Fourth Proportional to 5,860.24, 8,778.74 and 3,082.72

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Solution

The fourth proportional to 5,860.24, 8,778.74 and 3,082.72 is: 4,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.24 : 8,778.74 = 3,082.72 : x
  2. Step 2: Convert to fraction form
    5,860.24/8,778.74 = 3,082.72/x
  3. Step 3: Cross multiply
    5,860.24x = 8,778.74 × 3,082.72
  4. Step 4: Simplify right side
    5,860.24x = 27,062,397.37
  5. Step 5: Solve for x
    x = 27,062,397.37/5,860.24
  6. Step 6: Final answer
    x = 4,617.97

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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.