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Finding the Fourth Proportional to 3,744.78, 5,617.49 and 1,278.60

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Solution

The fourth proportional to 3,744.78, 5,617.49 and 1,278.60 is: 1,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.78 : 5,617.49 = 1,278.60 : x
  2. Step 2: Convert to fraction form
    3,744.78/5,617.49 = 1,278.60/x
  3. Step 3: Cross multiply
    3,744.78x = 5,617.49 × 1,278.60
  4. Step 4: Simplify right side
    3,744.78x = 7,182,516.32
  5. Step 5: Solve for x
    x = 7,182,516.32/3,744.78
  6. Step 6: Final answer
    x = 1,918.01

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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.