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Finding the Fourth Proportional to 3,767.39, 5,203.38 and 3,548.69

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Solution

The fourth proportional to 3,767.39, 5,203.38 and 3,548.69 is: 4,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.39 : 5,203.38 = 3,548.69 : x
  2. Step 2: Convert to fraction form
    3,767.39/5,203.38 = 3,548.69/x
  3. Step 3: Cross multiply
    3,767.39x = 5,203.38 × 3,548.69
  4. Step 4: Simplify right side
    3,767.39x = 18,465,182.57
  5. Step 5: Solve for x
    x = 18,465,182.57/3,767.39
  6. Step 6: Final answer
    x = 4,901.32

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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.