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Finding the Fourth Proportional to 3,098.39, 4,647.38 and 2,409.48

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Solution

The fourth proportional to 3,098.39, 4,647.38 and 2,409.48 is: 3,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.39 : 4,647.38 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    3,098.39/4,647.38 = 2,409.48/x
  3. Step 3: Cross multiply
    3,098.39x = 4,647.38 × 2,409.48
  4. Step 4: Simplify right side
    3,098.39x = 11,197,757.12
  5. Step 5: Solve for x
    x = 11,197,757.12/3,098.39
  6. Step 6: Final answer
    x = 3,614.06

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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.