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Finding the Fourth Proportional to 3,716.52, 5,129.32 and 2,300.66

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Solution

The fourth proportional to 3,716.52, 5,129.32 and 2,300.66 is: 3,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.52 : 5,129.32 = 2,300.66 : x
  2. Step 2: Convert to fraction form
    3,716.52/5,129.32 = 2,300.66/x
  3. Step 3: Cross multiply
    3,716.52x = 5,129.32 × 2,300.66
  4. Step 4: Simplify right side
    3,716.52x = 11,800,821.35
  5. Step 5: Solve for x
    x = 11,800,821.35/3,716.52
  6. Step 6: Final answer
    x = 3,175.23

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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.