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Finding the Fourth Proportional to 5,692.65, 8,532.27 and 2,569.01

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Solution

The fourth proportional to 5,692.65, 8,532.27 and 2,569.01 is: 3,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.65 : 8,532.27 = 2,569.01 : x
  2. Step 2: Convert to fraction form
    5,692.65/8,532.27 = 2,569.01/x
  3. Step 3: Cross multiply
    5,692.65x = 8,532.27 × 2,569.01
  4. Step 4: Simplify right side
    5,692.65x = 21,919,453.93
  5. Step 5: Solve for x
    x = 21,919,453.93/5,692.65
  6. Step 6: Final answer
    x = 3,850.48

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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.