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Finding the Fourth Proportional to 6,204.88, 8,564.04 and 3,934.75

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Solution

The fourth proportional to 6,204.88, 8,564.04 and 3,934.75 is: 5,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.88 : 8,564.04 = 3,934.75 : x
  2. Step 2: Convert to fraction form
    6,204.88/8,564.04 = 3,934.75/x
  3. Step 3: Cross multiply
    6,204.88x = 8,564.04 × 3,934.75
  4. Step 4: Simplify right side
    6,204.88x = 33,697,356.39
  5. Step 5: Solve for x
    x = 33,697,356.39/6,204.88
  6. Step 6: Final answer
    x = 5,430.78

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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.