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Finding the Fourth Proportional to 3,254.39, 4,853.75 and 2,764

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Solution

The fourth proportional to 3,254.39, 4,853.75 and 2,764 is: 4,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.39 : 4,853.75 = 2,764 : x
  2. Step 2: Convert to fraction form
    3,254.39/4,853.75 = 2,764/x
  3. Step 3: Cross multiply
    3,254.39x = 4,853.75 × 2,764
  4. Step 4: Simplify right side
    3,254.39x = 13,415,765
  5. Step 5: Solve for x
    x = 13,415,765/3,254.39
  6. Step 6: Final answer
    x = 4,122.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.