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Finding the Fourth Proportional to 3,729.80, 5,594.70 and 2,616.20

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Solution

The fourth proportional to 3,729.80, 5,594.70 and 2,616.20 is: 3,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.80 : 5,594.70 = 2,616.20 : x
  2. Step 2: Convert to fraction form
    3,729.80/5,594.70 = 2,616.20/x
  3. Step 3: Cross multiply
    3,729.80x = 5,594.70 × 2,616.20
  4. Step 4: Simplify right side
    3,729.80x = 14,636,854.14
  5. Step 5: Solve for x
    x = 14,636,854.14/3,729.80
  6. Step 6: Final answer
    x = 3,924.30

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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.