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Finding the Fourth Proportional to 5,338.80, 7,366.34 and 3,831.12

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Solution

The fourth proportional to 5,338.80, 7,366.34 and 3,831.12 is: 5,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.80 : 7,366.34 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    5,338.80/7,366.34 = 3,831.12/x
  3. Step 3: Cross multiply
    5,338.80x = 7,366.34 × 3,831.12
  4. Step 4: Simplify right side
    5,338.80x = 28,221,332.50
  5. Step 5: Solve for x
    x = 28,221,332.50/5,338.80
  6. Step 6: Final answer
    x = 5,286.08

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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.