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Finding the Fourth Proportional to 3,301.60, 4,552.44 and 2,638

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Solution

The fourth proportional to 3,301.60, 4,552.44 and 2,638 is: 3,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.60 : 4,552.44 = 2,638 : x
  2. Step 2: Convert to fraction form
    3,301.60/4,552.44 = 2,638/x
  3. Step 3: Cross multiply
    3,301.60x = 4,552.44 × 2,638
  4. Step 4: Simplify right side
    3,301.60x = 12,009,336.72
  5. Step 5: Solve for x
    x = 12,009,336.72/3,301.60
  6. Step 6: Final answer
    x = 3,637.43

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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.