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Finding the Fourth Proportional to 3,717.66, 5,124.15 and 2,969.22

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Solution

The fourth proportional to 3,717.66, 5,124.15 and 2,969.22 is: 4,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.66 : 5,124.15 = 2,969.22 : x
  2. Step 2: Convert to fraction form
    3,717.66/5,124.15 = 2,969.22/x
  3. Step 3: Cross multiply
    3,717.66x = 5,124.15 × 2,969.22
  4. Step 4: Simplify right side
    3,717.66x = 15,214,728.66
  5. Step 5: Solve for x
    x = 15,214,728.66/3,717.66
  6. Step 6: Final answer
    x = 4,092.56

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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.