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Finding the Fourth Proportional to 3,785.19, 5,223.56 and 2,129.19

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Solution

The fourth proportional to 3,785.19, 5,223.56 and 2,129.19 is: 2,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.19 : 5,223.56 = 2,129.19 : x
  2. Step 2: Convert to fraction form
    3,785.19/5,223.56 = 2,129.19/x
  3. Step 3: Cross multiply
    3,785.19x = 5,223.56 × 2,129.19
  4. Step 4: Simplify right side
    3,785.19x = 11,121,938.66
  5. Step 5: Solve for x
    x = 11,121,938.66/3,785.19
  6. Step 6: Final answer
    x = 2,938.28

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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.