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Finding the Fourth Proportional to 6,238.75, 8,606.89 and 4,116.66

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Solution

The fourth proportional to 6,238.75, 8,606.89 and 4,116.66 is: 5,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.75 : 8,606.89 = 4,116.66 : x
  2. Step 2: Convert to fraction form
    6,238.75/8,606.89 = 4,116.66/x
  3. Step 3: Cross multiply
    6,238.75x = 8,606.89 × 4,116.66
  4. Step 4: Simplify right side
    6,238.75x = 35,431,639.79
  5. Step 5: Solve for x
    x = 35,431,639.79/6,238.75
  6. Step 6: Final answer
    x = 5,679.29

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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.