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Finding the Fourth Proportional to 3,868.01, 5,337.96 and 2,099.73

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Solution

The fourth proportional to 3,868.01, 5,337.96 and 2,099.73 is: 2,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.01 : 5,337.96 = 2,099.73 : x
  2. Step 2: Convert to fraction form
    3,868.01/5,337.96 = 2,099.73/x
  3. Step 3: Cross multiply
    3,868.01x = 5,337.96 × 2,099.73
  4. Step 4: Simplify right side
    3,868.01x = 11,208,284.59
  5. Step 5: Solve for x
    x = 11,208,284.59/3,868.01
  6. Step 6: Final answer
    x = 2,897.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.