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Finding the Fourth Proportional to 3,883.77, 5,825.62 and 2,324.21

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Solution

The fourth proportional to 3,883.77, 5,825.62 and 2,324.21 is: 3,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.77 : 5,825.62 = 2,324.21 : x
  2. Step 2: Convert to fraction form
    3,883.77/5,825.62 = 2,324.21/x
  3. Step 3: Cross multiply
    3,883.77x = 5,825.62 × 2,324.21
  4. Step 4: Simplify right side
    3,883.77x = 13,539,923.51
  5. Step 5: Solve for x
    x = 13,539,923.51/3,883.77
  6. Step 6: Final answer
    x = 3,486.28

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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.