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Finding the Fourth Proportional to 5,787, 8,692.16 and 3,451.57

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Solution

The fourth proportional to 5,787, 8,692.16 and 3,451.57 is: 5,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 8,692.16 = 3,451.57 : x
  2. Step 2: Convert to fraction form
    5,787/8,692.16 = 3,451.57/x
  3. Step 3: Cross multiply
    5,787x = 8,692.16 × 3,451.57
  4. Step 4: Simplify right side
    5,787x = 30,001,559.70
  5. Step 5: Solve for x
    x = 30,001,559.70/5,787
  6. Step 6: Final answer
    x = 5,184.30

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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.