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Finding the Fourth Proportional to 3,883.45, 5,824.76 and 1,109.94

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Solution

The fourth proportional to 3,883.45, 5,824.76 and 1,109.94 is: 1,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.45 : 5,824.76 = 1,109.94 : x
  2. Step 2: Convert to fraction form
    3,883.45/5,824.76 = 1,109.94/x
  3. Step 3: Cross multiply
    3,883.45x = 5,824.76 × 1,109.94
  4. Step 4: Simplify right side
    3,883.45x = 6,465,134.11
  5. Step 5: Solve for x
    x = 6,465,134.11/3,883.45
  6. Step 6: Final answer
    x = 1,664.79

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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.