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Finding the Fourth Proportional to 5,794.61, 8,692.58 and 2,098.58

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Solution

The fourth proportional to 5,794.61, 8,692.58 and 2,098.58 is: 3,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.61 : 8,692.58 = 2,098.58 : x
  2. Step 2: Convert to fraction form
    5,794.61/8,692.58 = 2,098.58/x
  3. Step 3: Cross multiply
    5,794.61x = 8,692.58 × 2,098.58
  4. Step 4: Simplify right side
    5,794.61x = 18,242,020.58
  5. Step 5: Solve for x
    x = 18,242,020.58/5,794.61
  6. Step 6: Final answer
    x = 3,148.10

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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.