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Finding the Fourth Proportional to 4,934.92, 7,402.42 and 2,012.44

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Solution

The fourth proportional to 4,934.92, 7,402.42 and 2,012.44 is: 3,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.92 : 7,402.42 = 2,012.44 : x
  2. Step 2: Convert to fraction form
    4,934.92/7,402.42 = 2,012.44/x
  3. Step 3: Cross multiply
    4,934.92x = 7,402.42 × 2,012.44
  4. Step 4: Simplify right side
    4,934.92x = 14,896,926.10
  5. Step 5: Solve for x
    x = 14,896,926.10/4,934.92
  6. Step 6: Final answer
    x = 3,018.68

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Why These Related Problems?

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