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Finding the Fourth Proportional to 3,752.78, 5,622.99 and 1,286.24

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Solution

The fourth proportional to 3,752.78, 5,622.99 and 1,286.24 is: 1,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.78 : 5,622.99 = 1,286.24 : x
  2. Step 2: Convert to fraction form
    3,752.78/5,622.99 = 1,286.24/x
  3. Step 3: Cross multiply
    3,752.78x = 5,622.99 × 1,286.24
  4. Step 4: Simplify right side
    3,752.78x = 7,232,486.54
  5. Step 5: Solve for x
    x = 7,232,486.54/3,752.78
  6. Step 6: Final answer
    x = 1,927.24

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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.