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Finding the Fourth Proportional to 5,033.53, 6,952.81 and 3,831.22

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Solution

The fourth proportional to 5,033.53, 6,952.81 and 3,831.22 is: 5,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.53 : 6,952.81 = 3,831.22 : x
  2. Step 2: Convert to fraction form
    5,033.53/6,952.81 = 3,831.22/x
  3. Step 3: Cross multiply
    5,033.53x = 6,952.81 × 3,831.22
  4. Step 4: Simplify right side
    5,033.53x = 26,637,722.69
  5. Step 5: Solve for x
    x = 26,637,722.69/5,033.53
  6. Step 6: Final answer
    x = 5,292.05

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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.