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Finding the Fourth Proportional to 6,484.92, 8,948.67 and 3,831.83

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Solution

The fourth proportional to 6,484.92, 8,948.67 and 3,831.83 is: 5,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.92 : 8,948.67 = 3,831.83 : x
  2. Step 2: Convert to fraction form
    6,484.92/8,948.67 = 3,831.83/x
  3. Step 3: Cross multiply
    6,484.92x = 8,948.67 × 3,831.83
  4. Step 4: Simplify right side
    6,484.92x = 34,289,782.17
  5. Step 5: Solve for x
    x = 34,289,782.17/6,484.92
  6. Step 6: Final answer
    x = 5,287.62

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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.