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Finding the Fourth Proportional to 5,778.19, 8,698.84 and 3,940.95

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Solution

The fourth proportional to 5,778.19, 8,698.84 and 3,940.95 is: 5,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.19 : 8,698.84 = 3,940.95 : x
  2. Step 2: Convert to fraction form
    5,778.19/8,698.84 = 3,940.95/x
  3. Step 3: Cross multiply
    5,778.19x = 8,698.84 × 3,940.95
  4. Step 4: Simplify right side
    5,778.19x = 34,281,738.43
  5. Step 5: Solve for x
    x = 34,281,738.43/5,778.19
  6. Step 6: Final answer
    x = 5,932.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.