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Finding the Fourth Proportional to 5,680.79, 7,835.05 and 3,691.99

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Solution

The fourth proportional to 5,680.79, 7,835.05 and 3,691.99 is: 5,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.79 : 7,835.05 = 3,691.99 : x
  2. Step 2: Convert to fraction form
    5,680.79/7,835.05 = 3,691.99/x
  3. Step 3: Cross multiply
    5,680.79x = 7,835.05 × 3,691.99
  4. Step 4: Simplify right side
    5,680.79x = 28,926,926.25
  5. Step 5: Solve for x
    x = 28,926,926.25/5,680.79
  6. Step 6: Final answer
    x = 5,092.06

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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.