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Finding the Fourth Proportional to 5,307.40, 7,951.38 and 3,842.92

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Solution

The fourth proportional to 5,307.40, 7,951.38 and 3,842.92 is: 5,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.40 : 7,951.38 = 3,842.92 : x
  2. Step 2: Convert to fraction form
    5,307.40/7,951.38 = 3,842.92/x
  3. Step 3: Cross multiply
    5,307.40x = 7,951.38 × 3,842.92
  4. Step 4: Simplify right side
    5,307.40x = 30,556,517.23
  5. Step 5: Solve for x
    x = 30,556,517.23/5,307.40
  6. Step 6: Final answer
    x = 5,757.34

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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.