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Finding the Fourth Proportional to 5,233.80, 7,842.30 and 2,765.40

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Solution

The fourth proportional to 5,233.80, 7,842.30 and 2,765.40 is: 4,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.80 : 7,842.30 = 2,765.40 : x
  2. Step 2: Convert to fraction form
    5,233.80/7,842.30 = 2,765.40/x
  3. Step 3: Cross multiply
    5,233.80x = 7,842.30 × 2,765.40
  4. Step 4: Simplify right side
    5,233.80x = 21,687,096.42
  5. Step 5: Solve for x
    x = 21,687,096.42/5,233.80
  6. Step 6: Final answer
    x = 4,143.66

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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.