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Finding the Fourth Proportional to 5,794.35, 8,692.20 and 2,098.32

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Solution

The fourth proportional to 5,794.35, 8,692.20 and 2,098.32 is: 3,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.35 : 8,692.20 = 2,098.32 : x
  2. Step 2: Convert to fraction form
    5,794.35/8,692.20 = 2,098.32/x
  3. Step 3: Cross multiply
    5,794.35x = 8,692.20 × 2,098.32
  4. Step 4: Simplify right side
    5,794.35x = 18,239,017.10
  5. Step 5: Solve for x
    x = 18,239,017.10/5,794.35
  6. Step 6: Final answer
    x = 3,147.72

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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.