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Finding the Fourth Proportional to 6,138.66, 8,458.77 and 5,807.79

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Solution

The fourth proportional to 6,138.66, 8,458.77 and 5,807.79 is: 8,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.66 : 8,458.77 = 5,807.79 : x
  2. Step 2: Convert to fraction form
    6,138.66/8,458.77 = 5,807.79/x
  3. Step 3: Cross multiply
    6,138.66x = 8,458.77 × 5,807.79
  4. Step 4: Simplify right side
    6,138.66x = 49,126,759.82
  5. Step 5: Solve for x
    x = 49,126,759.82/6,138.66
  6. Step 6: Final answer
    x = 8,002.85

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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.