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Finding the Fourth Proportional to 5,644.10, 8,466.46 and 2,353.88

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Solution

The fourth proportional to 5,644.10, 8,466.46 and 2,353.88 is: 3,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.10 : 8,466.46 = 2,353.88 : x
  2. Step 2: Convert to fraction form
    5,644.10/8,466.46 = 2,353.88/x
  3. Step 3: Cross multiply
    5,644.10x = 8,466.46 × 2,353.88
  4. Step 4: Simplify right side
    5,644.10x = 19,929,046.15
  5. Step 5: Solve for x
    x = 19,929,046.15/5,644.10
  6. Step 6: Final answer
    x = 3,530.95

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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.