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Finding the Fourth Proportional to 6,177.12, 8,524.16 and 3,819.52

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Solution

The fourth proportional to 6,177.12, 8,524.16 and 3,819.52 is: 5,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.12 : 8,524.16 = 3,819.52 : x
  2. Step 2: Convert to fraction form
    6,177.12/8,524.16 = 3,819.52/x
  3. Step 3: Cross multiply
    6,177.12x = 8,524.16 × 3,819.52
  4. Step 4: Simplify right side
    6,177.12x = 32,558,199.60
  5. Step 5: Solve for x
    x = 32,558,199.60/6,177.12
  6. Step 6: Final answer
    x = 5,270.77

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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.