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Finding the Fourth Proportional to 3,716.38, 5,129.22 and 2,830.51

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Solution

The fourth proportional to 3,716.38, 5,129.22 and 2,830.51 is: 3,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.38 : 5,129.22 = 2,830.51 : x
  2. Step 2: Convert to fraction form
    3,716.38/5,129.22 = 2,830.51/x
  3. Step 3: Cross multiply
    3,716.38x = 5,129.22 × 2,830.51
  4. Step 4: Simplify right side
    3,716.38x = 14,518,308.50
  5. Step 5: Solve for x
    x = 14,518,308.50/3,716.38
  6. Step 6: Final answer
    x = 3,906.57

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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.