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Finding the Fourth Proportional to 4,176.81, 6,228.72 and 3,659.22

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Solution

The fourth proportional to 4,176.81, 6,228.72 and 3,659.22 is: 5,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.81 : 6,228.72 = 3,659.22 : x
  2. Step 2: Convert to fraction form
    4,176.81/6,228.72 = 3,659.22/x
  3. Step 3: Cross multiply
    4,176.81x = 6,228.72 × 3,659.22
  4. Step 4: Simplify right side
    4,176.81x = 22,792,256.80
  5. Step 5: Solve for x
    x = 22,792,256.80/4,176.81
  6. Step 6: Final answer
    x = 5,456.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.