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Finding the Fourth Proportional to 5,122.84, 7,694.70 and 4,520.20

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Solution

The fourth proportional to 5,122.84, 7,694.70 and 4,520.20 is: 6,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.84 : 7,694.70 = 4,520.20 : x
  2. Step 2: Convert to fraction form
    5,122.84/7,694.70 = 4,520.20/x
  3. Step 3: Cross multiply
    5,122.84x = 7,694.70 × 4,520.20
  4. Step 4: Simplify right side
    5,122.84x = 34,781,582.94
  5. Step 5: Solve for x
    x = 34,781,582.94/5,122.84
  6. Step 6: Final answer
    x = 6,789.51

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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.