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Finding the Fourth Proportional to 7,301.92, 10,956.66 and 2,919.28

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Solution

The fourth proportional to 7,301.92, 10,956.66 and 2,919.28 is: 4,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.92 : 10,956.66 = 2,919.28 : x
  2. Step 2: Convert to fraction form
    7,301.92/10,956.66 = 2,919.28/x
  3. Step 3: Cross multiply
    7,301.92x = 10,956.66 × 2,919.28
  4. Step 4: Simplify right side
    7,301.92x = 31,985,558.40
  5. Step 5: Solve for x
    x = 31,985,558.40/7,301.92
  6. Step 6: Final answer
    x = 4,380.43

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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.