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Finding the Fourth Proportional to 6,257.91, 8,634.90 and 3,741.06

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Solution

The fourth proportional to 6,257.91, 8,634.90 and 3,741.06 is: 5,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.91 : 8,634.90 = 3,741.06 : x
  2. Step 2: Convert to fraction form
    6,257.91/8,634.90 = 3,741.06/x
  3. Step 3: Cross multiply
    6,257.91x = 8,634.90 × 3,741.06
  4. Step 4: Simplify right side
    6,257.91x = 32,303,678.99
  5. Step 5: Solve for x
    x = 32,303,678.99/6,257.91
  6. Step 6: Final answer
    x = 5,162.06

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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.