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Finding the Fourth Proportional to 3,883.29, 5,825.04 and 1,110.21

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Solution

The fourth proportional to 3,883.29, 5,825.04 and 1,110.21 is: 1,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.29 : 5,825.04 = 1,110.21 : x
  2. Step 2: Convert to fraction form
    3,883.29/5,825.04 = 1,110.21/x
  3. Step 3: Cross multiply
    3,883.29x = 5,825.04 × 1,110.21
  4. Step 4: Simplify right side
    3,883.29x = 6,467,017.66
  5. Step 5: Solve for x
    x = 6,467,017.66/3,883.29
  6. Step 6: Final answer
    x = 1,665.35

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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.