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Finding the Fourth Proportional to 5,792.63, 7,997.27 and 4,392.95

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Solution

The fourth proportional to 5,792.63, 7,997.27 and 4,392.95 is: 6,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.63 : 7,997.27 = 4,392.95 : x
  2. Step 2: Convert to fraction form
    5,792.63/7,997.27 = 4,392.95/x
  3. Step 3: Cross multiply
    5,792.63x = 7,997.27 × 4,392.95
  4. Step 4: Simplify right side
    5,792.63x = 35,131,545.30
  5. Step 5: Solve for x
    x = 35,131,545.30/5,792.63
  6. Step 6: Final answer
    x = 6,064.87

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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.