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Finding the Fourth Proportional to 5,230.77, 7,840.20 and 2,600.11

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Solution

The fourth proportional to 5,230.77, 7,840.20 and 2,600.11 is: 3,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.77 : 7,840.20 = 2,600.11 : x
  2. Step 2: Convert to fraction form
    5,230.77/7,840.20 = 2,600.11/x
  3. Step 3: Cross multiply
    5,230.77x = 7,840.20 × 2,600.11
  4. Step 4: Simplify right side
    5,230.77x = 20,385,401.97
  5. Step 5: Solve for x
    x = 20,385,401.97/5,230.77
  6. Step 6: Final answer
    x = 3,897.21

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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.