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Finding the Fourth Proportional to 3,632.64, 5,448.65 and 2,246.19

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Solution

The fourth proportional to 3,632.64, 5,448.65 and 2,246.19 is: 3,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.64 : 5,448.65 = 2,246.19 : x
  2. Step 2: Convert to fraction form
    3,632.64/5,448.65 = 2,246.19/x
  3. Step 3: Cross multiply
    3,632.64x = 5,448.65 × 2,246.19
  4. Step 4: Simplify right side
    3,632.64x = 12,238,691.91
  5. Step 5: Solve for x
    x = 12,238,691.91/3,632.64
  6. Step 6: Final answer
    x = 3,369.09

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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.