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Finding the Fourth Proportional to 6,098.54, 9,144.92 and 2,810.66

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Solution

The fourth proportional to 6,098.54, 9,144.92 and 2,810.66 is: 4,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.54 : 9,144.92 = 2,810.66 : x
  2. Step 2: Convert to fraction form
    6,098.54/9,144.92 = 2,810.66/x
  3. Step 3: Cross multiply
    6,098.54x = 9,144.92 × 2,810.66
  4. Step 4: Simplify right side
    6,098.54x = 25,703,260.85
  5. Step 5: Solve for x
    x = 25,703,260.85/6,098.54
  6. Step 6: Final answer
    x = 4,214.66

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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.