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Finding the Fourth Proportional to 6,098.67, 8,415.36 and 3,856.59

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Solution

The fourth proportional to 6,098.67, 8,415.36 and 3,856.59 is: 5,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.67 : 8,415.36 = 3,856.59 : x
  2. Step 2: Convert to fraction form
    6,098.67/8,415.36 = 3,856.59/x
  3. Step 3: Cross multiply
    6,098.67x = 8,415.36 × 3,856.59
  4. Step 4: Simplify right side
    6,098.67x = 32,454,593.22
  5. Step 5: Solve for x
    x = 32,454,593.22/6,098.67
  6. Step 6: Final answer
    x = 5,321.59

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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.