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Finding the Fourth Proportional to 3,442.97, 5,162.45 and 1,838.13

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Solution

The fourth proportional to 3,442.97, 5,162.45 and 1,838.13 is: 2,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.97 : 5,162.45 = 1,838.13 : x
  2. Step 2: Convert to fraction form
    3,442.97/5,162.45 = 1,838.13/x
  3. Step 3: Cross multiply
    3,442.97x = 5,162.45 × 1,838.13
  4. Step 4: Simplify right side
    3,442.97x = 9,489,254.22
  5. Step 5: Solve for x
    x = 9,489,254.22/3,442.97
  6. Step 6: Final answer
    x = 2,756.13

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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.