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Finding the Fourth Proportional to 3,837.36, 5,751.49 and 1,494.57

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Solution

The fourth proportional to 3,837.36, 5,751.49 and 1,494.57 is: 2,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.36 : 5,751.49 = 1,494.57 : x
  2. Step 2: Convert to fraction form
    3,837.36/5,751.49 = 1,494.57/x
  3. Step 3: Cross multiply
    3,837.36x = 5,751.49 × 1,494.57
  4. Step 4: Simplify right side
    3,837.36x = 8,596,004.41
  5. Step 5: Solve for x
    x = 8,596,004.41/3,837.36
  6. Step 6: Final answer
    x = 2,240.08

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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.