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Finding the Fourth Proportional to 3,840.87, 5,761.37 and 1,208.32

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Solution

The fourth proportional to 3,840.87, 5,761.37 and 1,208.32 is: 1,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.87 : 5,761.37 = 1,208.32 : x
  2. Step 2: Convert to fraction form
    3,840.87/5,761.37 = 1,208.32/x
  3. Step 3: Cross multiply
    3,840.87x = 5,761.37 × 1,208.32
  4. Step 4: Simplify right side
    3,840.87x = 6,961,581.62
  5. Step 5: Solve for x
    x = 6,961,581.62/3,840.87
  6. Step 6: Final answer
    x = 1,812.50

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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.