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Finding the Fourth Proportional to 5,188.97, 7,160.77 and 2,831.11

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Solution

The fourth proportional to 5,188.97, 7,160.77 and 2,831.11 is: 3,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.97 : 7,160.77 = 2,831.11 : x
  2. Step 2: Convert to fraction form
    5,188.97/7,160.77 = 2,831.11/x
  3. Step 3: Cross multiply
    5,188.97x = 7,160.77 × 2,831.11
  4. Step 4: Simplify right side
    5,188.97x = 20,272,927.55
  5. Step 5: Solve for x
    x = 20,272,927.55/5,188.97
  6. Step 6: Final answer
    x = 3,906.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.