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Finding the Fourth Proportional to 5,723.92, 7,897.20 and 3,366.88

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Solution

The fourth proportional to 5,723.92, 7,897.20 and 3,366.88 is: 4,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.92 : 7,897.20 = 3,366.88 : x
  2. Step 2: Convert to fraction form
    5,723.92/7,897.20 = 3,366.88/x
  3. Step 3: Cross multiply
    5,723.92x = 7,897.20 × 3,366.88
  4. Step 4: Simplify right side
    5,723.92x = 26,588,924.74
  5. Step 5: Solve for x
    x = 26,588,924.74/5,723.92
  6. Step 6: Final answer
    x = 4,645.23

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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.