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Finding the Fourth Proportional to 4,102.87, 6,154.62 and 2,021.73

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Solution

The fourth proportional to 4,102.87, 6,154.62 and 2,021.73 is: 3,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.87 : 6,154.62 = 2,021.73 : x
  2. Step 2: Convert to fraction form
    4,102.87/6,154.62 = 2,021.73/x
  3. Step 3: Cross multiply
    4,102.87x = 6,154.62 × 2,021.73
  4. Step 4: Simplify right side
    4,102.87x = 12,443,009.69
  5. Step 5: Solve for x
    x = 12,443,009.69/4,102.87
  6. Step 6: Final answer
    x = 3,032.76

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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.