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Finding the Fourth Proportional to 3,796.77, 5,237.43 and 2,224.56

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Solution

The fourth proportional to 3,796.77, 5,237.43 and 2,224.56 is: 3,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.77 : 5,237.43 = 2,224.56 : x
  2. Step 2: Convert to fraction form
    3,796.77/5,237.43 = 2,224.56/x
  3. Step 3: Cross multiply
    3,796.77x = 5,237.43 × 2,224.56
  4. Step 4: Simplify right side
    3,796.77x = 11,650,977.28
  5. Step 5: Solve for x
    x = 11,650,977.28/3,796.77
  6. Step 6: Final answer
    x = 3,068.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.