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Finding the Fourth Proportional to 5,189.57, 7,161.53 and 2,831.66

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Solution

The fourth proportional to 5,189.57, 7,161.53 and 2,831.66 is: 3,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.57 : 7,161.53 = 2,831.66 : x
  2. Step 2: Convert to fraction form
    5,189.57/7,161.53 = 2,831.66/x
  3. Step 3: Cross multiply
    5,189.57x = 7,161.53 × 2,831.66
  4. Step 4: Simplify right side
    5,189.57x = 20,278,968.07
  5. Step 5: Solve for x
    x = 20,278,968.07/5,189.57
  6. Step 6: Final answer
    x = 3,907.64

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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.