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Finding the Fourth Proportional to 3,533.79, 5,292.57 and 2,049.34

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Solution

The fourth proportional to 3,533.79, 5,292.57 and 2,049.34 is: 3,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.79 : 5,292.57 = 2,049.34 : x
  2. Step 2: Convert to fraction form
    3,533.79/5,292.57 = 2,049.34/x
  3. Step 3: Cross multiply
    3,533.79x = 5,292.57 × 2,049.34
  4. Step 4: Simplify right side
    3,533.79x = 10,846,268.25
  5. Step 5: Solve for x
    x = 10,846,268.25/3,533.79
  6. Step 6: Final answer
    x = 3,069.30

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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.