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Finding the Fourth Proportional to 3,784.88, 5,223.86 and 2,128.88

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Solution

The fourth proportional to 3,784.88, 5,223.86 and 2,128.88 is: 2,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.88 : 5,223.86 = 2,128.88 : x
  2. Step 2: Convert to fraction form
    3,784.88/5,223.86 = 2,128.88/x
  3. Step 3: Cross multiply
    3,784.88x = 5,223.86 × 2,128.88
  4. Step 4: Simplify right side
    3,784.88x = 11,120,934.31
  5. Step 5: Solve for x
    x = 11,120,934.31/3,784.88
  6. Step 6: Final answer
    x = 2,938.26

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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.