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Finding the Fourth Proportional to 3,635.49, 5,017.53 and 2,640.39

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Solution

The fourth proportional to 3,635.49, 5,017.53 and 2,640.39 is: 3,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.49 : 5,017.53 = 2,640.39 : x
  2. Step 2: Convert to fraction form
    3,635.49/5,017.53 = 2,640.39/x
  3. Step 3: Cross multiply
    3,635.49x = 5,017.53 × 2,640.39
  4. Step 4: Simplify right side
    3,635.49x = 13,248,236.04
  5. Step 5: Solve for x
    x = 13,248,236.04/3,635.49
  6. Step 6: Final answer
    x = 3,644.14

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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.