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Finding the Fourth Proportional to 6,098.49, 8,412.82 and 3,856.59

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Solution

The fourth proportional to 6,098.49, 8,412.82 and 3,856.59 is: 5,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.49 : 8,412.82 = 3,856.59 : x
  2. Step 2: Convert to fraction form
    6,098.49/8,412.82 = 3,856.59/x
  3. Step 3: Cross multiply
    6,098.49x = 8,412.82 × 3,856.59
  4. Step 4: Simplify right side
    6,098.49x = 32,444,797.48
  5. Step 5: Solve for x
    x = 32,444,797.48/6,098.49
  6. Step 6: Final answer
    x = 5,320.14

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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.