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Finding the Fourth Proportional to 5,956.80, 8,212.32 and 5,023.68

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Solution

The fourth proportional to 5,956.80, 8,212.32 and 5,023.68 is: 6,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.80 : 8,212.32 = 5,023.68 : x
  2. Step 2: Convert to fraction form
    5,956.80/8,212.32 = 5,023.68/x
  3. Step 3: Cross multiply
    5,956.80x = 8,212.32 × 5,023.68
  4. Step 4: Simplify right side
    5,956.80x = 41,256,067.74
  5. Step 5: Solve for x
    x = 41,256,067.74/5,956.80
  6. Step 6: Final answer
    x = 6,925.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.