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Finding the Fourth Proportional to 5,644.44, 8,461.08 and 2,677.68

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Solution

The fourth proportional to 5,644.44, 8,461.08 and 2,677.68 is: 4,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.44 : 8,461.08 = 2,677.68 : x
  2. Step 2: Convert to fraction form
    5,644.44/8,461.08 = 2,677.68/x
  3. Step 3: Cross multiply
    5,644.44x = 8,461.08 × 2,677.68
  4. Step 4: Simplify right side
    5,644.44x = 22,656,064.69
  5. Step 5: Solve for x
    x = 22,656,064.69/5,644.44
  6. Step 6: Final answer
    x = 4,013.87

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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.