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Finding the Fourth Proportional to 3,847.26, 5,770.64 and 1,506.83

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Solution

The fourth proportional to 3,847.26, 5,770.64 and 1,506.83 is: 2,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.26 : 5,770.64 = 1,506.83 : x
  2. Step 2: Convert to fraction form
    3,847.26/5,770.64 = 1,506.83/x
  3. Step 3: Cross multiply
    3,847.26x = 5,770.64 × 1,506.83
  4. Step 4: Simplify right side
    3,847.26x = 8,695,337.08
  5. Step 5: Solve for x
    x = 8,695,337.08/3,847.26
  6. Step 6: Final answer
    x = 2,260.14

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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.