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Finding the Fourth Proportional to 6,098.85, 9,148.82 and 2,540.19

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Solution

The fourth proportional to 6,098.85, 9,148.82 and 2,540.19 is: 3,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.85 : 9,148.82 = 2,540.19 : x
  2. Step 2: Convert to fraction form
    6,098.85/9,148.82 = 2,540.19/x
  3. Step 3: Cross multiply
    6,098.85x = 9,148.82 × 2,540.19
  4. Step 4: Simplify right side
    6,098.85x = 23,239,728.37
  5. Step 5: Solve for x
    x = 23,239,728.37/6,098.85
  6. Step 6: Final answer
    x = 3,810.51

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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.