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Finding the Fourth Proportional to 5,781.75, 8,660.99 and 2,657.42

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Solution

The fourth proportional to 5,781.75, 8,660.99 and 2,657.42 is: 3,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.75 : 8,660.99 = 2,657.42 : x
  2. Step 2: Convert to fraction form
    5,781.75/8,660.99 = 2,657.42/x
  3. Step 3: Cross multiply
    5,781.75x = 8,660.99 × 2,657.42
  4. Step 4: Simplify right side
    5,781.75x = 23,015,831.45
  5. Step 5: Solve for x
    x = 23,015,831.45/5,781.75
  6. Step 6: Final answer
    x = 3,980.77

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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.