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Finding the Fourth Proportional to 3,632.90, 5,448.15 and 2,244.15

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Solution

The fourth proportional to 3,632.90, 5,448.15 and 2,244.15 is: 3,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.90 : 5,448.15 = 2,244.15 : x
  2. Step 2: Convert to fraction form
    3,632.90/5,448.15 = 2,244.15/x
  3. Step 3: Cross multiply
    3,632.90x = 5,448.15 × 2,244.15
  4. Step 4: Simplify right side
    3,632.90x = 12,226,465.82
  5. Step 5: Solve for x
    x = 12,226,465.82/3,632.90
  6. Step 6: Final answer
    x = 3,365.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.