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Finding the Fourth Proportional to 3,681.36, 5,078.97 and 2,264.54

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Solution

The fourth proportional to 3,681.36, 5,078.97 and 2,264.54 is: 3,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.36 : 5,078.97 = 2,264.54 : x
  2. Step 2: Convert to fraction form
    3,681.36/5,078.97 = 2,264.54/x
  3. Step 3: Cross multiply
    3,681.36x = 5,078.97 × 2,264.54
  4. Step 4: Simplify right side
    3,681.36x = 11,501,505.33
  5. Step 5: Solve for x
    x = 11,501,505.33/3,681.36
  6. Step 6: Final answer
    x = 3,124.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.