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Finding the Fourth Proportional to 6,198.32, 8,549.92 and 3,678.77

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Solution

The fourth proportional to 6,198.32, 8,549.92 and 3,678.77 is: 5,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.32 : 8,549.92 = 3,678.77 : x
  2. Step 2: Convert to fraction form
    6,198.32/8,549.92 = 3,678.77/x
  3. Step 3: Cross multiply
    6,198.32x = 8,549.92 × 3,678.77
  4. Step 4: Simplify right side
    6,198.32x = 31,453,189.20
  5. Step 5: Solve for x
    x = 31,453,189.20/6,198.32
  6. Step 6: Final answer
    x = 5,074.47

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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.