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Finding the Fourth Proportional to 3,868.00, 5,337.81 and 2,099.60

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Solution

The fourth proportional to 3,868.00, 5,337.81 and 2,099.60 is: 2,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.00 : 5,337.81 = 2,099.60 : x
  2. Step 2: Convert to fraction form
    3,868.00/5,337.81 = 2,099.60/x
  3. Step 3: Cross multiply
    3,868.00x = 5,337.81 × 2,099.60
  4. Step 4: Simplify right side
    3,868.00x = 11,207,289.23
  5. Step 5: Solve for x
    x = 11,207,289.23/3,868.00
  6. Step 6: Final answer
    x = 2,897.44

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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.