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Finding the Fourth Proportional to 6,356.56, 8,771.70 and 3,523.84

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Solution

The fourth proportional to 6,356.56, 8,771.70 and 3,523.84 is: 4,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.56 : 8,771.70 = 3,523.84 : x
  2. Step 2: Convert to fraction form
    6,356.56/8,771.70 = 3,523.84/x
  3. Step 3: Cross multiply
    6,356.56x = 8,771.70 × 3,523.84
  4. Step 4: Simplify right side
    6,356.56x = 30,910,067.33
  5. Step 5: Solve for x
    x = 30,910,067.33/6,356.56
  6. Step 6: Final answer
    x = 4,862.70

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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.