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Finding the Fourth Proportional to 3,544.57, 4,892.00 and 2,052.95

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Solution

The fourth proportional to 3,544.57, 4,892.00 and 2,052.95 is: 2,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.57 : 4,892.00 = 2,052.95 : x
  2. Step 2: Convert to fraction form
    3,544.57/4,892.00 = 2,052.95/x
  3. Step 3: Cross multiply
    3,544.57x = 4,892.00 × 2,052.95
  4. Step 4: Simplify right side
    3,544.57x = 10,043,033.37
  5. Step 5: Solve for x
    x = 10,043,033.37/3,544.57
  6. Step 6: Final answer
    x = 2,833.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.