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Finding the Fourth Proportional to 4,146.66, 6,229.71 and 3,563.46

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Solution

The fourth proportional to 4,146.66, 6,229.71 and 3,563.46 is: 5,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.66 : 6,229.71 = 3,563.46 : x
  2. Step 2: Convert to fraction form
    4,146.66/6,229.71 = 3,563.46/x
  3. Step 3: Cross multiply
    4,146.66x = 6,229.71 × 3,563.46
  4. Step 4: Simplify right side
    4,146.66x = 22,199,322.40
  5. Step 5: Solve for x
    x = 22,199,322.40/4,146.66
  6. Step 6: Final answer
    x = 5,353.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.