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Finding the Fourth Proportional to 3,686.20, 5,536.62 and 2,228.20

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Solution

The fourth proportional to 3,686.20, 5,536.62 and 2,228.20 is: 3,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.20 : 5,536.62 = 2,228.20 : x
  2. Step 2: Convert to fraction form
    3,686.20/5,536.62 = 2,228.20/x
  3. Step 3: Cross multiply
    3,686.20x = 5,536.62 × 2,228.20
  4. Step 4: Simplify right side
    3,686.20x = 12,336,696.68
  5. Step 5: Solve for x
    x = 12,336,696.68/3,686.20
  6. Step 6: Final answer
    x = 3,346.72

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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.