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Finding the Fourth Proportional to 3,633.04, 5,446.31 and 1,440.27

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Solution

The fourth proportional to 3,633.04, 5,446.31 and 1,440.27 is: 2,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.04 : 5,446.31 = 1,440.27 : x
  2. Step 2: Convert to fraction form
    3,633.04/5,446.31 = 1,440.27/x
  3. Step 3: Cross multiply
    3,633.04x = 5,446.31 × 1,440.27
  4. Step 4: Simplify right side
    3,633.04x = 7,844,160.50
  5. Step 5: Solve for x
    x = 7,844,160.50/3,633.04
  6. Step 6: Final answer
    x = 2,159.12

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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.