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Finding the Fourth Proportional to 5,580.75, 8,372.34 and 2,118

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Solution

The fourth proportional to 5,580.75, 8,372.34 and 2,118 is: 3,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.75 : 8,372.34 = 2,118 : x
  2. Step 2: Convert to fraction form
    5,580.75/8,372.34 = 2,118/x
  3. Step 3: Cross multiply
    5,580.75x = 8,372.34 × 2,118
  4. Step 4: Simplify right side
    5,580.75x = 17,732,616.12
  5. Step 5: Solve for x
    x = 17,732,616.12/5,580.75
  6. Step 6: Final answer
    x = 3,177.46

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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.