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Finding the Fourth Proportional to 3,847.36, 5,770.56 and 1,537.12

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Solution

The fourth proportional to 3,847.36, 5,770.56 and 1,537.12 is: 2,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.36 : 5,770.56 = 1,537.12 : x
  2. Step 2: Convert to fraction form
    3,847.36/5,770.56 = 1,537.12/x
  3. Step 3: Cross multiply
    3,847.36x = 5,770.56 × 1,537.12
  4. Step 4: Simplify right side
    3,847.36x = 8,870,043.19
  5. Step 5: Solve for x
    x = 8,870,043.19/3,847.36
  6. Step 6: Final answer
    x = 2,305.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.