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Finding the Fourth Proportional to 5,151.89, 7,113.92 and 3,831.48

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Solution

The fourth proportional to 5,151.89, 7,113.92 and 3,831.48 is: 5,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.89 : 7,113.92 = 3,831.48 : x
  2. Step 2: Convert to fraction form
    5,151.89/7,113.92 = 3,831.48/x
  3. Step 3: Cross multiply
    5,151.89x = 7,113.92 × 3,831.48
  4. Step 4: Simplify right side
    5,151.89x = 27,256,823.04
  5. Step 5: Solve for x
    x = 27,256,823.04/5,151.89
  6. Step 6: Final answer
    x = 5,290.65

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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.