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Finding the Fourth Proportional to 3,852.77, 5,775.05 and 2,002.02

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Solution

The fourth proportional to 3,852.77, 5,775.05 and 2,002.02 is: 3,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.77 : 5,775.05 = 2,002.02 : x
  2. Step 2: Convert to fraction form
    3,852.77/5,775.05 = 2,002.02/x
  3. Step 3: Cross multiply
    3,852.77x = 5,775.05 × 2,002.02
  4. Step 4: Simplify right side
    3,852.77x = 11,561,737.69
  5. Step 5: Solve for x
    x = 11,561,737.69/3,852.77
  6. Step 6: Final answer
    x = 3,000.89

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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.