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Finding the Fourth Proportional to 4,692.02, 6,474.71 and 2,567.12

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Solution

The fourth proportional to 4,692.02, 6,474.71 and 2,567.12 is: 3,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.02 : 6,474.71 = 2,567.12 : x
  2. Step 2: Convert to fraction form
    4,692.02/6,474.71 = 2,567.12/x
  3. Step 3: Cross multiply
    4,692.02x = 6,474.71 × 2,567.12
  4. Step 4: Simplify right side
    4,692.02x = 16,621,357.54
  5. Step 5: Solve for x
    x = 16,621,357.54/4,692.02
  6. Step 6: Final answer
    x = 3,542.47

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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.