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Finding the Fourth Proportional to 3,288.81, 4,536.88 and 2,226.62

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Solution

The fourth proportional to 3,288.81, 4,536.88 and 2,226.62 is: 3,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.81 : 4,536.88 = 2,226.62 : x
  2. Step 2: Convert to fraction form
    3,288.81/4,536.88 = 2,226.62/x
  3. Step 3: Cross multiply
    3,288.81x = 4,536.88 × 2,226.62
  4. Step 4: Simplify right side
    3,288.81x = 10,101,913.52
  5. Step 5: Solve for x
    x = 10,101,913.52/3,288.81
  6. Step 6: Final answer
    x = 3,071.60

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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.