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Finding the Fourth Proportional to 3,506.78, 5,260.17 and 2,044.91

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Solution

The fourth proportional to 3,506.78, 5,260.17 and 2,044.91 is: 3,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.78 : 5,260.17 = 2,044.91 : x
  2. Step 2: Convert to fraction form
    3,506.78/5,260.17 = 2,044.91/x
  3. Step 3: Cross multiply
    3,506.78x = 5,260.17 × 2,044.91
  4. Step 4: Simplify right side
    3,506.78x = 10,756,574.23
  5. Step 5: Solve for x
    x = 10,756,574.23/3,506.78
  6. Step 6: Final answer
    x = 3,067.37

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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.