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Finding the Fourth Proportional to 5,923.80, 8,831.97 and 5,769.90

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Solution

The fourth proportional to 5,923.80, 8,831.97 and 5,769.90 is: 8,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.80 : 8,831.97 = 5,769.90 : x
  2. Step 2: Convert to fraction form
    5,923.80/8,831.97 = 5,769.90/x
  3. Step 3: Cross multiply
    5,923.80x = 8,831.97 × 5,769.90
  4. Step 4: Simplify right side
    5,923.80x = 50,959,583.70
  5. Step 5: Solve for x
    x = 50,959,583.70/5,923.80
  6. Step 6: Final answer
    x = 8,602.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.