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Finding the Fourth Proportional to 4,865.92, 7,297.75 and 2,093.90

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Solution

The fourth proportional to 4,865.92, 7,297.75 and 2,093.90 is: 3,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.92 : 7,297.75 = 2,093.90 : x
  2. Step 2: Convert to fraction form
    4,865.92/7,297.75 = 2,093.90/x
  3. Step 3: Cross multiply
    4,865.92x = 7,297.75 × 2,093.90
  4. Step 4: Simplify right side
    4,865.92x = 15,280,754.13
  5. Step 5: Solve for x
    x = 15,280,754.13/4,865.92
  6. Step 6: Final answer
    x = 3,140.36

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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.