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Finding the Fourth Proportional to 5,670.24, 7,822 and 3,902.80

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Solution

The fourth proportional to 5,670.24, 7,822 and 3,902.80 is: 5,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.24 : 7,822 = 3,902.80 : x
  2. Step 2: Convert to fraction form
    5,670.24/7,822 = 3,902.80/x
  3. Step 3: Cross multiply
    5,670.24x = 7,822 × 3,902.80
  4. Step 4: Simplify right side
    5,670.24x = 30,527,701.60
  5. Step 5: Solve for x
    x = 30,527,701.60/5,670.24
  6. Step 6: Final answer
    x = 5,383.85

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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.