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Finding the Fourth Proportional to 3,403.17, 5,106.92 and 1,844.24

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Solution

The fourth proportional to 3,403.17, 5,106.92 and 1,844.24 is: 2,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.17 : 5,106.92 = 1,844.24 : x
  2. Step 2: Convert to fraction form
    3,403.17/5,106.92 = 1,844.24/x
  3. Step 3: Cross multiply
    3,403.17x = 5,106.92 × 1,844.24
  4. Step 4: Simplify right side
    3,403.17x = 9,418,351.39
  5. Step 5: Solve for x
    x = 9,418,351.39/3,403.17
  6. Step 6: Final answer
    x = 2,767.52

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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.