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Finding the Fourth Proportional to 3,564.87, 5,349.60 and 1,922.56

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Solution

The fourth proportional to 3,564.87, 5,349.60 and 1,922.56 is: 2,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.87 : 5,349.60 = 1,922.56 : x
  2. Step 2: Convert to fraction form
    3,564.87/5,349.60 = 1,922.56/x
  3. Step 3: Cross multiply
    3,564.87x = 5,349.60 × 1,922.56
  4. Step 4: Simplify right side
    3,564.87x = 10,284,917.36
  5. Step 5: Solve for x
    x = 10,284,917.36/3,564.87
  6. Step 6: Final answer
    x = 2,885.08

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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.