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Finding the Fourth Proportional to 5,692.45, 7,856.14 and 3,454.15

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Solution

The fourth proportional to 5,692.45, 7,856.14 and 3,454.15 is: 4,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.45 : 7,856.14 = 3,454.15 : x
  2. Step 2: Convert to fraction form
    5,692.45/7,856.14 = 3,454.15/x
  3. Step 3: Cross multiply
    5,692.45x = 7,856.14 × 3,454.15
  4. Step 4: Simplify right side
    5,692.45x = 27,136,257.71
  5. Step 5: Solve for x
    x = 27,136,257.71/5,692.45
  6. Step 6: Final answer
    x = 4,767.06

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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.