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Finding the Fourth Proportional to 3,701.65, 5,108.31 and 2,023.11

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Solution

The fourth proportional to 3,701.65, 5,108.31 and 2,023.11 is: 2,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.65 : 5,108.31 = 2,023.11 : x
  2. Step 2: Convert to fraction form
    3,701.65/5,108.31 = 2,023.11/x
  3. Step 3: Cross multiply
    3,701.65x = 5,108.31 × 2,023.11
  4. Step 4: Simplify right side
    3,701.65x = 10,334,673.04
  5. Step 5: Solve for x
    x = 10,334,673.04/3,701.65
  6. Step 6: Final answer
    x = 2,791.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.