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Finding the Fourth Proportional to 4,692.17, 7,037.91 and 1,571.90

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Solution

The fourth proportional to 4,692.17, 7,037.91 and 1,571.90 is: 2,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.17 : 7,037.91 = 1,571.90 : x
  2. Step 2: Convert to fraction form
    4,692.17/7,037.91 = 1,571.90/x
  3. Step 3: Cross multiply
    4,692.17x = 7,037.91 × 1,571.90
  4. Step 4: Simplify right side
    4,692.17x = 11,062,855.54
  5. Step 5: Solve for x
    x = 11,062,855.54/4,692.17
  6. Step 6: Final answer
    x = 2,357.73

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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.