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Finding the Fourth Proportional to 3,785.78, 5,223.53 and 2,213.14

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Solution

The fourth proportional to 3,785.78, 5,223.53 and 2,213.14 is: 3,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.78 : 5,223.53 = 2,213.14 : x
  2. Step 2: Convert to fraction form
    3,785.78/5,223.53 = 2,213.14/x
  3. Step 3: Cross multiply
    3,785.78x = 5,223.53 × 2,213.14
  4. Step 4: Simplify right side
    3,785.78x = 11,560,403.18
  5. Step 5: Solve for x
    x = 11,560,403.18/3,785.78
  6. Step 6: Final answer
    x = 3,053.64

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