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Finding the Fourth Proportional to 5,778.40, 8,662.40 and 2,079.76

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Solution

The fourth proportional to 5,778.40, 8,662.40 and 2,079.76 is: 3,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.40 : 8,662.40 = 2,079.76 : x
  2. Step 2: Convert to fraction form
    5,778.40/8,662.40 = 2,079.76/x
  3. Step 3: Cross multiply
    5,778.40x = 8,662.40 × 2,079.76
  4. Step 4: Simplify right side
    5,778.40x = 18,015,713.02
  5. Step 5: Solve for x
    x = 18,015,713.02/5,778.40
  6. Step 6: Final answer
    x = 3,117.77

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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.