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Finding the Fourth Proportional to 5,766.30, 7,952.18 and 3,848.73

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Solution

The fourth proportional to 5,766.30, 7,952.18 and 3,848.73 is: 5,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.30 : 7,952.18 = 3,848.73 : x
  2. Step 2: Convert to fraction form
    5,766.30/7,952.18 = 3,848.73/x
  3. Step 3: Cross multiply
    5,766.30x = 7,952.18 × 3,848.73
  4. Step 4: Simplify right side
    5,766.30x = 30,605,793.73
  5. Step 5: Solve for x
    x = 30,605,793.73/5,766.30
  6. Step 6: Final answer
    x = 5,307.70

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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.