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Finding the Fourth Proportional to 4,098.06, 6,149.79 and 3,059.24

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Solution

The fourth proportional to 4,098.06, 6,149.79 and 3,059.24 is: 4,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.06 : 6,149.79 = 3,059.24 : x
  2. Step 2: Convert to fraction form
    4,098.06/6,149.79 = 3,059.24/x
  3. Step 3: Cross multiply
    4,098.06x = 6,149.79 × 3,059.24
  4. Step 4: Simplify right side
    4,098.06x = 18,813,652.81
  5. Step 5: Solve for x
    x = 18,813,652.81/4,098.06
  6. Step 6: Final answer
    x = 4,590.87

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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.