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Finding the Fourth Proportional to 3,686.58, 5,524.02 and 2,202.90

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Solution

The fourth proportional to 3,686.58, 5,524.02 and 2,202.90 is: 3,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.58 : 5,524.02 = 2,202.90 : x
  2. Step 2: Convert to fraction form
    3,686.58/5,524.02 = 2,202.90/x
  3. Step 3: Cross multiply
    3,686.58x = 5,524.02 × 2,202.90
  4. Step 4: Simplify right side
    3,686.58x = 12,168,863.66
  5. Step 5: Solve for x
    x = 12,168,863.66/3,686.58
  6. Step 6: Final answer
    x = 3,300.85

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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.