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Finding the Fourth Proportional to 4,174.92, 6,266.16 and 2,228.76

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Solution

The fourth proportional to 4,174.92, 6,266.16 and 2,228.76 is: 3,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.92 : 6,266.16 = 2,228.76 : x
  2. Step 2: Convert to fraction form
    4,174.92/6,266.16 = 2,228.76/x
  3. Step 3: Cross multiply
    4,174.92x = 6,266.16 × 2,228.76
  4. Step 4: Simplify right side
    4,174.92x = 13,965,766.76
  5. Step 5: Solve for x
    x = 13,965,766.76/4,174.92
  6. Step 6: Final answer
    x = 3,345.16

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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.