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Finding the Fourth Proportional to 4,145.72, 6,217.49 and 1,952.24

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Solution

The fourth proportional to 4,145.72, 6,217.49 and 1,952.24 is: 2,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.72 : 6,217.49 = 1,952.24 : x
  2. Step 2: Convert to fraction form
    4,145.72/6,217.49 = 1,952.24/x
  3. Step 3: Cross multiply
    4,145.72x = 6,217.49 × 1,952.24
  4. Step 4: Simplify right side
    4,145.72x = 12,138,006.47
  5. Step 5: Solve for x
    x = 12,138,006.47/4,145.72
  6. Step 6: Final answer
    x = 2,927.84

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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.