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Finding the Fourth Proportional to 3,567.80, 4,922.36 and 2,074.49

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Solution

The fourth proportional to 3,567.80, 4,922.36 and 2,074.49 is: 2,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.80 : 4,922.36 = 2,074.49 : x
  2. Step 2: Convert to fraction form
    3,567.80/4,922.36 = 2,074.49/x
  3. Step 3: Cross multiply
    3,567.80x = 4,922.36 × 2,074.49
  4. Step 4: Simplify right side
    3,567.80x = 10,211,377.85
  5. Step 5: Solve for x
    x = 10,211,377.85/3,567.80
  6. Step 6: Final answer
    x = 2,862.10

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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.