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Finding the Fourth Proportional to 4,098.81, 6,147.87 and 2,454.16

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Solution

The fourth proportional to 4,098.81, 6,147.87 and 2,454.16 is: 3,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.81 : 6,147.87 = 2,454.16 : x
  2. Step 2: Convert to fraction form
    4,098.81/6,147.87 = 2,454.16/x
  3. Step 3: Cross multiply
    4,098.81x = 6,147.87 × 2,454.16
  4. Step 4: Simplify right side
    4,098.81x = 15,087,847.01
  5. Step 5: Solve for x
    x = 15,087,847.01/4,098.81
  6. Step 6: Final answer
    x = 3,681.03

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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.