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Finding the Fourth Proportional to 5,831.57, 8,047.32 and 3,178.92

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Solution

The fourth proportional to 5,831.57, 8,047.32 and 3,178.92 is: 4,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.57 : 8,047.32 = 3,178.92 : x
  2. Step 2: Convert to fraction form
    5,831.57/8,047.32 = 3,178.92/x
  3. Step 3: Cross multiply
    5,831.57x = 8,047.32 × 3,178.92
  4. Step 4: Simplify right side
    5,831.57x = 25,581,786.49
  5. Step 5: Solve for x
    x = 25,581,786.49/5,831.57
  6. Step 6: Final answer
    x = 4,386.78

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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.