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Finding the Fourth Proportional to 3,616.80, 5,429.82 and 2,841.84

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Solution

The fourth proportional to 3,616.80, 5,429.82 and 2,841.84 is: 4,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.80 : 5,429.82 = 2,841.84 : x
  2. Step 2: Convert to fraction form
    3,616.80/5,429.82 = 2,841.84/x
  3. Step 3: Cross multiply
    3,616.80x = 5,429.82 × 2,841.84
  4. Step 4: Simplify right side
    3,616.80x = 15,430,679.67
  5. Step 5: Solve for x
    x = 15,430,679.67/3,616.80
  6. Step 6: Final answer
    x = 4,266.39

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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.