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Finding the Fourth Proportional to 5,581.52, 8,372.24 and 1,421.49

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Solution

The fourth proportional to 5,581.52, 8,372.24 and 1,421.49 is: 2,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.52 : 8,372.24 = 1,421.49 : x
  2. Step 2: Convert to fraction form
    5,581.52/8,372.24 = 1,421.49/x
  3. Step 3: Cross multiply
    5,581.52x = 8,372.24 × 1,421.49
  4. Step 4: Simplify right side
    5,581.52x = 11,901,055.44
  5. Step 5: Solve for x
    x = 11,901,055.44/5,581.52
  6. Step 6: Final answer
    x = 2,132.22

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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.