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Finding the Fourth Proportional to 3,716.78, 5,574.29 and 1,083.61

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Solution

The fourth proportional to 3,716.78, 5,574.29 and 1,083.61 is: 1,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.78 : 5,574.29 = 1,083.61 : x
  2. Step 2: Convert to fraction form
    3,716.78/5,574.29 = 1,083.61/x
  3. Step 3: Cross multiply
    3,716.78x = 5,574.29 × 1,083.61
  4. Step 4: Simplify right side
    3,716.78x = 6,040,345.16
  5. Step 5: Solve for x
    x = 6,040,345.16/3,716.78
  6. Step 6: Final answer
    x = 1,625.15

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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.