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Finding the Fourth Proportional to 3,911.88, 5,859.22 and 3,696.22

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Solution

The fourth proportional to 3,911.88, 5,859.22 and 3,696.22 is: 5,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.88 : 5,859.22 = 3,696.22 : x
  2. Step 2: Convert to fraction form
    3,911.88/5,859.22 = 3,696.22/x
  3. Step 3: Cross multiply
    3,911.88x = 5,859.22 × 3,696.22
  4. Step 4: Simplify right side
    3,911.88x = 21,656,966.15
  5. Step 5: Solve for x
    x = 21,656,966.15/3,911.88
  6. Step 6: Final answer
    x = 5,536.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.