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Finding the Fourth Proportional to 4,098.61, 6,149.18 and 3,663.01

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Solution

The fourth proportional to 4,098.61, 6,149.18 and 3,663.01 is: 5,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.61 : 6,149.18 = 3,663.01 : x
  2. Step 2: Convert to fraction form
    4,098.61/6,149.18 = 3,663.01/x
  3. Step 3: Cross multiply
    4,098.61x = 6,149.18 × 3,663.01
  4. Step 4: Simplify right side
    4,098.61x = 22,524,489.52
  5. Step 5: Solve for x
    x = 22,524,489.52/4,098.61
  6. Step 6: Final answer
    x = 5,495.64

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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.