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Finding the Fourth Proportional to 5,188.50, 7,160.13 and 2,830.59

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Solution

The fourth proportional to 5,188.50, 7,160.13 and 2,830.59 is: 3,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.50 : 7,160.13 = 2,830.59 : x
  2. Step 2: Convert to fraction form
    5,188.50/7,160.13 = 2,830.59/x
  3. Step 3: Cross multiply
    5,188.50x = 7,160.13 × 2,830.59
  4. Step 4: Simplify right side
    5,188.50x = 20,267,392.38
  5. Step 5: Solve for x
    x = 20,267,392.38/5,188.50
  6. Step 6: Final answer
    x = 3,906.21

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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.