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Finding the Fourth Proportional to 3,533.62, 5,300.94 and 1,069.15

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Solution

The fourth proportional to 3,533.62, 5,300.94 and 1,069.15 is: 1,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.62 : 5,300.94 = 1,069.15 : x
  2. Step 2: Convert to fraction form
    3,533.62/5,300.94 = 1,069.15/x
  3. Step 3: Cross multiply
    3,533.62x = 5,300.94 × 1,069.15
  4. Step 4: Simplify right side
    3,533.62x = 5,667,500.00
  5. Step 5: Solve for x
    x = 5,667,500.00/3,533.62
  6. Step 6: Final answer
    x = 1,603.88

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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.