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Finding the Fourth Proportional to 3,930.93, 5,894.82 and 1,738.17

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Solution

The fourth proportional to 3,930.93, 5,894.82 and 1,738.17 is: 2,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.93 : 5,894.82 = 1,738.17 : x
  2. Step 2: Convert to fraction form
    3,930.93/5,894.82 = 1,738.17/x
  3. Step 3: Cross multiply
    3,930.93x = 5,894.82 × 1,738.17
  4. Step 4: Simplify right side
    3,930.93x = 10,246,199.28
  5. Step 5: Solve for x
    x = 10,246,199.28/3,930.93
  6. Step 6: Final answer
    x = 2,606.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.