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Finding the Fourth Proportional to 3,864.81, 5,768.92 and 3,320.49

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Solution

The fourth proportional to 3,864.81, 5,768.92 and 3,320.49 is: 4,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.81 : 5,768.92 = 3,320.49 : x
  2. Step 2: Convert to fraction form
    3,864.81/5,768.92 = 3,320.49/x
  3. Step 3: Cross multiply
    3,864.81x = 5,768.92 × 3,320.49
  4. Step 4: Simplify right side
    3,864.81x = 19,155,641.17
  5. Step 5: Solve for x
    x = 19,155,641.17/3,864.81
  6. Step 6: Final answer
    x = 4,956.43

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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.