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Finding the Fourth Proportional to 6,191, 8,545.17 and 3,831.76

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Solution

The fourth proportional to 6,191, 8,545.17 and 3,831.76 is: 5,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191 : 8,545.17 = 3,831.76 : x
  2. Step 2: Convert to fraction form
    6,191/8,545.17 = 3,831.76/x
  3. Step 3: Cross multiply
    6,191x = 8,545.17 × 3,831.76
  4. Step 4: Simplify right side
    6,191x = 32,743,040.60
  5. Step 5: Solve for x
    x = 32,743,040.60/6,191
  6. Step 6: Final answer
    x = 5,288.81

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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.