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Finding the Fourth Proportional to 5,762.92, 7,956.58 and 4,194.92

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Solution

The fourth proportional to 5,762.92, 7,956.58 and 4,194.92 is: 5,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.92 : 7,956.58 = 4,194.92 : x
  2. Step 2: Convert to fraction form
    5,762.92/7,956.58 = 4,194.92/x
  3. Step 3: Cross multiply
    5,762.92x = 7,956.58 × 4,194.92
  4. Step 4: Simplify right side
    5,762.92x = 33,377,216.57
  5. Step 5: Solve for x
    x = 33,377,216.57/5,762.92
  6. Step 6: Final answer
    x = 5,791.72

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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.