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Finding the Fourth Proportional to 3,883.95, 5,825.10 and 1,109.88

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Solution

The fourth proportional to 3,883.95, 5,825.10 and 1,109.88 is: 1,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.95 : 5,825.10 = 1,109.88 : x
  2. Step 2: Convert to fraction form
    3,883.95/5,825.10 = 1,109.88/x
  3. Step 3: Cross multiply
    3,883.95x = 5,825.10 × 1,109.88
  4. Step 4: Simplify right side
    3,883.95x = 6,465,161.99
  5. Step 5: Solve for x
    x = 6,465,161.99/3,883.95
  6. Step 6: Final answer
    x = 1,664.58

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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.