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Finding the Fourth Proportional to 3,713.04, 5,542.29 and 3,161.16

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Solution

The fourth proportional to 3,713.04, 5,542.29 and 3,161.16 is: 4,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.04 : 5,542.29 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    3,713.04/5,542.29 = 3,161.16/x
  3. Step 3: Cross multiply
    3,713.04x = 5,542.29 × 3,161.16
  4. Step 4: Simplify right side
    3,713.04x = 17,520,065.46
  5. Step 5: Solve for x
    x = 17,520,065.46/3,713.04
  6. Step 6: Final answer
    x = 4,718.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.