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Finding the Fourth Proportional to 3,594.78, 4,962 and 2,531.64

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Solution

The fourth proportional to 3,594.78, 4,962 and 2,531.64 is: 3,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.78 : 4,962 = 2,531.64 : x
  2. Step 2: Convert to fraction form
    3,594.78/4,962 = 2,531.64/x
  3. Step 3: Cross multiply
    3,594.78x = 4,962 × 2,531.64
  4. Step 4: Simplify right side
    3,594.78x = 12,561,997.68
  5. Step 5: Solve for x
    x = 12,561,997.68/3,594.78
  6. Step 6: Final answer
    x = 3,494.51

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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.