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Finding the Fourth Proportional to 3,773.78, 5,208.48 and 2,202.74

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Solution

The fourth proportional to 3,773.78, 5,208.48 and 2,202.74 is: 3,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.78 : 5,208.48 = 2,202.74 : x
  2. Step 2: Convert to fraction form
    3,773.78/5,208.48 = 2,202.74/x
  3. Step 3: Cross multiply
    3,773.78x = 5,208.48 × 2,202.74
  4. Step 4: Simplify right side
    3,773.78x = 11,472,927.24
  5. Step 5: Solve for x
    x = 11,472,927.24/3,773.78
  6. Step 6: Final answer
    x = 3,040.17

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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.