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Finding the Fourth Proportional to 5,631.89, 7,772.02 and 3,079.70

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Solution

The fourth proportional to 5,631.89, 7,772.02 and 3,079.70 is: 4,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.89 : 7,772.02 = 3,079.70 : x
  2. Step 2: Convert to fraction form
    5,631.89/7,772.02 = 3,079.70/x
  3. Step 3: Cross multiply
    5,631.89x = 7,772.02 × 3,079.70
  4. Step 4: Simplify right side
    5,631.89x = 23,935,460.76
  5. Step 5: Solve for x
    x = 23,935,460.76/5,631.89
  6. Step 6: Final answer
    x = 4,249.99

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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.