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Finding the Fourth Proportional to 3,874.84, 5,343.78 and 2,548.08

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Solution

The fourth proportional to 3,874.84, 5,343.78 and 2,548.08 is: 3,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.84 : 5,343.78 = 2,548.08 : x
  2. Step 2: Convert to fraction form
    3,874.84/5,343.78 = 2,548.08/x
  3. Step 3: Cross multiply
    3,874.84x = 5,343.78 × 2,548.08
  4. Step 4: Simplify right side
    3,874.84x = 13,616,378.94
  5. Step 5: Solve for x
    x = 13,616,378.94/3,874.84
  6. Step 6: Final answer
    x = 3,514.05

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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.