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Finding the Fourth Proportional to 3,528.64, 5,287.38 and 2,831.68

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Solution

The fourth proportional to 3,528.64, 5,287.38 and 2,831.68 is: 4,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.64 : 5,287.38 = 2,831.68 : x
  2. Step 2: Convert to fraction form
    3,528.64/5,287.38 = 2,831.68/x
  3. Step 3: Cross multiply
    3,528.64x = 5,287.38 × 2,831.68
  4. Step 4: Simplify right side
    3,528.64x = 14,972,168.20
  5. Step 5: Solve for x
    x = 14,972,168.20/3,528.64
  6. Step 6: Final answer
    x = 4,243.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.