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Finding the Fourth Proportional to 5,692.53, 7,856.41 and 3,454.28

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Solution

The fourth proportional to 5,692.53, 7,856.41 and 3,454.28 is: 4,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.53 : 7,856.41 = 3,454.28 : x
  2. Step 2: Convert to fraction form
    5,692.53/7,856.41 = 3,454.28/x
  3. Step 3: Cross multiply
    5,692.53x = 7,856.41 × 3,454.28
  4. Step 4: Simplify right side
    5,692.53x = 27,138,200.65
  5. Step 5: Solve for x
    x = 27,138,200.65/5,692.53
  6. Step 6: Final answer
    x = 4,767.34

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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.