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Finding the Fourth Proportional to 3,523.44, 4,863.96 and 2,642.16

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Solution

The fourth proportional to 3,523.44, 4,863.96 and 2,642.16 is: 3,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.44 : 4,863.96 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    3,523.44/4,863.96 = 2,642.16/x
  3. Step 3: Cross multiply
    3,523.44x = 4,863.96 × 2,642.16
  4. Step 4: Simplify right side
    3,523.44x = 12,851,360.55
  5. Step 5: Solve for x
    x = 12,851,360.55/3,523.44
  6. Step 6: Final answer
    x = 3,647.39

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Why These Related Problems?

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