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Finding the Fourth Proportional to 3,734, 5,152.92 and 2,078

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Solution

The fourth proportional to 3,734, 5,152.92 and 2,078 is: 2,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734 : 5,152.92 = 2,078 : x
  2. Step 2: Convert to fraction form
    3,734/5,152.92 = 2,078/x
  3. Step 3: Cross multiply
    3,734x = 5,152.92 × 2,078
  4. Step 4: Simplify right side
    3,734x = 10,707,767.76
  5. Step 5: Solve for x
    x = 10,707,767.76/3,734
  6. Step 6: Final answer
    x = 2,867.64

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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.