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Finding the Fourth Proportional to 5,206.90, 7,803.06 and 3,906.85

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Solution

The fourth proportional to 5,206.90, 7,803.06 and 3,906.85 is: 5,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.90 : 7,803.06 = 3,906.85 : x
  2. Step 2: Convert to fraction form
    5,206.90/7,803.06 = 3,906.85/x
  3. Step 3: Cross multiply
    5,206.90x = 7,803.06 × 3,906.85
  4. Step 4: Simplify right side
    5,206.90x = 30,485,384.96
  5. Step 5: Solve for x
    x = 30,485,384.96/5,206.90
  6. Step 6: Final answer
    x = 5,854.81

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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.