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Finding the Fourth Proportional to 3,865.30, 5,792.72 and 2,820.40

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Solution

The fourth proportional to 3,865.30, 5,792.72 and 2,820.40 is: 4,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.30 : 5,792.72 = 2,820.40 : x
  2. Step 2: Convert to fraction form
    3,865.30/5,792.72 = 2,820.40/x
  3. Step 3: Cross multiply
    3,865.30x = 5,792.72 × 2,820.40
  4. Step 4: Simplify right side
    3,865.30x = 16,337,780.06
  5. Step 5: Solve for x
    x = 16,337,780.06/3,865.30
  6. Step 6: Final answer
    x = 4,226.78

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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.