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Finding the Fourth Proportional to 4,821.96, 6,652.08 and 2,831.88

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Solution

The fourth proportional to 4,821.96, 6,652.08 and 2,831.88 is: 3,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.96 : 6,652.08 = 2,831.88 : x
  2. Step 2: Convert to fraction form
    4,821.96/6,652.08 = 2,831.88/x
  3. Step 3: Cross multiply
    4,821.96x = 6,652.08 × 2,831.88
  4. Step 4: Simplify right side
    4,821.96x = 18,837,892.31
  5. Step 5: Solve for x
    x = 18,837,892.31/4,821.96
  6. Step 6: Final answer
    x = 3,906.69

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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.