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Finding the Fourth Proportional to 5,794.82, 8,692.14 and 1,412.12

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Solution

The fourth proportional to 5,794.82, 8,692.14 and 1,412.12 is: 2,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.82 : 8,692.14 = 1,412.12 : x
  2. Step 2: Convert to fraction form
    5,794.82/8,692.14 = 1,412.12/x
  3. Step 3: Cross multiply
    5,794.82x = 8,692.14 × 1,412.12
  4. Step 4: Simplify right side
    5,794.82x = 12,274,344.74
  5. Step 5: Solve for x
    x = 12,274,344.74/5,794.82
  6. Step 6: Final answer
    x = 2,118.16

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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.