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Finding the Fourth Proportional to 3,847.76, 5,306.28 and 2,522.60

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Solution

The fourth proportional to 3,847.76, 5,306.28 and 2,522.60 is: 3,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.76 : 5,306.28 = 2,522.60 : x
  2. Step 2: Convert to fraction form
    3,847.76/5,306.28 = 2,522.60/x
  3. Step 3: Cross multiply
    3,847.76x = 5,306.28 × 2,522.60
  4. Step 4: Simplify right side
    3,847.76x = 13,385,621.93
  5. Step 5: Solve for x
    x = 13,385,621.93/3,847.76
  6. Step 6: Final answer
    x = 3,478.81

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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.