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Finding the Fourth Proportional to 3,268.58, 4,507.11 and 2,638.40

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Solution

The fourth proportional to 3,268.58, 4,507.11 and 2,638.40 is: 3,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.58 : 4,507.11 = 2,638.40 : x
  2. Step 2: Convert to fraction form
    3,268.58/4,507.11 = 2,638.40/x
  3. Step 3: Cross multiply
    3,268.58x = 4,507.11 × 2,638.40
  4. Step 4: Simplify right side
    3,268.58x = 11,891,536.49
  5. Step 5: Solve for x
    x = 11,891,536.49/3,268.58
  6. Step 6: Final answer
    x = 3,638.14

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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.