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Finding the Fourth Proportional to 3,761.36, 5,643 and 2,384.48

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Solution

The fourth proportional to 3,761.36, 5,643 and 2,384.48 is: 3,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.36 : 5,643 = 2,384.48 : x
  2. Step 2: Convert to fraction form
    3,761.36/5,643 = 2,384.48/x
  3. Step 3: Cross multiply
    3,761.36x = 5,643 × 2,384.48
  4. Step 4: Simplify right side
    3,761.36x = 13,455,620.64
  5. Step 5: Solve for x
    x = 13,455,620.64/3,761.36
  6. Step 6: Final answer
    x = 3,577.33

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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.