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Finding the Fourth Proportional to 3,586.32, 5,380.56 and 1,278

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Solution

The fourth proportional to 3,586.32, 5,380.56 and 1,278 is: 1,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.32 : 5,380.56 = 1,278 : x
  2. Step 2: Convert to fraction form
    3,586.32/5,380.56 = 1,278/x
  3. Step 3: Cross multiply
    3,586.32x = 5,380.56 × 1,278
  4. Step 4: Simplify right side
    3,586.32x = 6,876,355.68
  5. Step 5: Solve for x
    x = 6,876,355.68/3,586.32
  6. Step 6: Final answer
    x = 1,917.38

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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.