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Finding the Fourth Proportional to 4,351.92, 6,486.40 and 4,105.92

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Solution

The fourth proportional to 4,351.92, 6,486.40 and 4,105.92 is: 6,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.92 : 6,486.40 = 4,105.92 : x
  2. Step 2: Convert to fraction form
    4,351.92/6,486.40 = 4,105.92/x
  3. Step 3: Cross multiply
    4,351.92x = 6,486.40 × 4,105.92
  4. Step 4: Simplify right side
    4,351.92x = 26,632,639.49
  5. Step 5: Solve for x
    x = 26,632,639.49/4,351.92
  6. Step 6: Final answer
    x = 6,119.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.