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Finding the Fourth Proportional to 4,117.50, 5,682.12 and 2,229.06

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Solution

The fourth proportional to 4,117.50, 5,682.12 and 2,229.06 is: 3,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.50 : 5,682.12 = 2,229.06 : x
  2. Step 2: Convert to fraction form
    4,117.50/5,682.12 = 2,229.06/x
  3. Step 3: Cross multiply
    4,117.50x = 5,682.12 × 2,229.06
  4. Step 4: Simplify right side
    4,117.50x = 12,665,786.41
  5. Step 5: Solve for x
    x = 12,665,786.41/4,117.50
  6. Step 6: Final answer
    x = 3,076.09

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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.