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Finding the Fourth Proportional to 5,205.62, 7,166.12 and 4,024.46

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Solution

The fourth proportional to 5,205.62, 7,166.12 and 4,024.46 is: 5,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.62 : 7,166.12 = 4,024.46 : x
  2. Step 2: Convert to fraction form
    5,205.62/7,166.12 = 4,024.46/x
  3. Step 3: Cross multiply
    5,205.62x = 7,166.12 × 4,024.46
  4. Step 4: Simplify right side
    5,205.62x = 28,839,763.30
  5. Step 5: Solve for x
    x = 28,839,763.30/5,205.62
  6. Step 6: Final answer
    x = 5,540.12

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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.