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Finding the Fourth Proportional to 5,634.72, 7,775.80 and 3,116.73

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Solution

The fourth proportional to 5,634.72, 7,775.80 and 3,116.73 is: 4,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.72 : 7,775.80 = 3,116.73 : x
  2. Step 2: Convert to fraction form
    5,634.72/7,775.80 = 3,116.73/x
  3. Step 3: Cross multiply
    5,634.72x = 7,775.80 × 3,116.73
  4. Step 4: Simplify right side
    5,634.72x = 24,235,061.34
  5. Step 5: Solve for x
    x = 24,235,061.34/5,634.72
  6. Step 6: Final answer
    x = 4,301.02

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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.