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Finding the Fourth Proportional to 5,881.44, 8,822.38 and 2,184.60

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Solution

The fourth proportional to 5,881.44, 8,822.38 and 2,184.60 is: 3,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.44 : 8,822.38 = 2,184.60 : x
  2. Step 2: Convert to fraction form
    5,881.44/8,822.38 = 2,184.60/x
  3. Step 3: Cross multiply
    5,881.44x = 8,822.38 × 2,184.60
  4. Step 4: Simplify right side
    5,881.44x = 19,273,371.35
  5. Step 5: Solve for x
    x = 19,273,371.35/5,881.44
  6. Step 6: Final answer
    x = 3,276.98

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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.