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Finding the Fourth Proportional to 5,546.88, 8,320.80 and 1,442.88

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Solution

The fourth proportional to 5,546.88, 8,320.80 and 1,442.88 is: 2,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.88 : 8,320.80 = 1,442.88 : x
  2. Step 2: Convert to fraction form
    5,546.88/8,320.80 = 1,442.88/x
  3. Step 3: Cross multiply
    5,546.88x = 8,320.80 × 1,442.88
  4. Step 4: Simplify right side
    5,546.88x = 12,005,915.90
  5. Step 5: Solve for x
    x = 12,005,915.90/5,546.88
  6. Step 6: Final answer
    x = 2,164.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.