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Finding the Fourth Proportional to 6,089.60, 8,397.87 and 4,198.16

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Solution

The fourth proportional to 6,089.60, 8,397.87 and 4,198.16 is: 5,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.60 : 8,397.87 = 4,198.16 : x
  2. Step 2: Convert to fraction form
    6,089.60/8,397.87 = 4,198.16/x
  3. Step 3: Cross multiply
    6,089.60x = 8,397.87 × 4,198.16
  4. Step 4: Simplify right side
    6,089.60x = 35,255,601.92
  5. Step 5: Solve for x
    x = 35,255,601.92/6,089.60
  6. Step 6: Final answer
    x = 5,789.48

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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.