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Finding the Fourth Proportional to 5,801.96, 8,698.68 and 3,724.30

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Solution

The fourth proportional to 5,801.96, 8,698.68 and 3,724.30 is: 5,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.96 : 8,698.68 = 3,724.30 : x
  2. Step 2: Convert to fraction form
    5,801.96/8,698.68 = 3,724.30/x
  3. Step 3: Cross multiply
    5,801.96x = 8,698.68 × 3,724.30
  4. Step 4: Simplify right side
    5,801.96x = 32,396,493.92
  5. Step 5: Solve for x
    x = 32,396,493.92/5,801.96
  6. Step 6: Final answer
    x = 5,583.72

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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.