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Finding the Fourth Proportional to 5,188.70, 7,160.36 and 2,830.70

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Solution

The fourth proportional to 5,188.70, 7,160.36 and 2,830.70 is: 3,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.70 : 7,160.36 = 2,830.70 : x
  2. Step 2: Convert to fraction form
    5,188.70/7,160.36 = 2,830.70/x
  3. Step 3: Cross multiply
    5,188.70x = 7,160.36 × 2,830.70
  4. Step 4: Simplify right side
    5,188.70x = 20,268,831.05
  5. Step 5: Solve for x
    x = 20,268,831.05/5,188.70
  6. Step 6: Final answer
    x = 3,906.34

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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.