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Finding the Fourth Proportional to 3,716.85, 5,574.36 and 1,083.66

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Solution

The fourth proportional to 3,716.85, 5,574.36 and 1,083.66 is: 1,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.85 : 5,574.36 = 1,083.66 : x
  2. Step 2: Convert to fraction form
    3,716.85/5,574.36 = 1,083.66/x
  3. Step 3: Cross multiply
    3,716.85x = 5,574.36 × 1,083.66
  4. Step 4: Simplify right side
    3,716.85x = 6,040,710.96
  5. Step 5: Solve for x
    x = 6,040,710.96/3,716.85
  6. Step 6: Final answer
    x = 1,625.22

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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.