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Finding the Fourth Proportional to 3,669.80, 5,510.19 and 3,542.22

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Solution

The fourth proportional to 3,669.80, 5,510.19 and 3,542.22 is: 5,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.80 : 5,510.19 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    3,669.80/5,510.19 = 3,542.22/x
  3. Step 3: Cross multiply
    3,669.80x = 5,510.19 × 3,542.22
  4. Step 4: Simplify right side
    3,669.80x = 19,518,305.22
  5. Step 5: Solve for x
    x = 19,518,305.22/3,669.80
  6. Step 6: Final answer
    x = 5,318.64

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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.