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Finding the Fourth Proportional to 3,838.20, 5,760.90 and 2,380.20

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Solution

The fourth proportional to 3,838.20, 5,760.90 and 2,380.20 is: 3,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.20 : 5,760.90 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    3,838.20/5,760.90 = 2,380.20/x
  3. Step 3: Cross multiply
    3,838.20x = 5,760.90 × 2,380.20
  4. Step 4: Simplify right side
    3,838.20x = 13,712,094.18
  5. Step 5: Solve for x
    x = 13,712,094.18/3,838.20
  6. Step 6: Final answer
    x = 3,572.53

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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.