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Finding the Fourth Proportional to 3,785.34, 5,224.40 and 2,213.13

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Solution

The fourth proportional to 3,785.34, 5,224.40 and 2,213.13 is: 3,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.34 : 5,224.40 = 2,213.13 : x
  2. Step 2: Convert to fraction form
    3,785.34/5,224.40 = 2,213.13/x
  3. Step 3: Cross multiply
    3,785.34x = 5,224.40 × 2,213.13
  4. Step 4: Simplify right side
    3,785.34x = 11,562,265.31
  5. Step 5: Solve for x
    x = 11,562,265.31/3,785.34
  6. Step 6: Final answer
    x = 3,054.49

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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.