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Finding the Fourth Proportional to 5,881.33, 8,822.49 and 2,549.80

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Solution

The fourth proportional to 5,881.33, 8,822.49 and 2,549.80 is: 3,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.33 : 8,822.49 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    5,881.33/8,822.49 = 2,549.80/x
  3. Step 3: Cross multiply
    5,881.33x = 8,822.49 × 2,549.80
  4. Step 4: Simplify right side
    5,881.33x = 22,495,585.00
  5. Step 5: Solve for x
    x = 22,495,585.00/5,881.33
  6. Step 6: Final answer
    x = 3,824.91

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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.