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Finding the Fourth Proportional to 4,795.44, 7,193.16 and 2,742

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Solution

The fourth proportional to 4,795.44, 7,193.16 and 2,742 is: 4,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795.44 : 7,193.16 = 2,742 : x
  2. Step 2: Convert to fraction form
    4,795.44/7,193.16 = 2,742/x
  3. Step 3: Cross multiply
    4,795.44x = 7,193.16 × 2,742
  4. Step 4: Simplify right side
    4,795.44x = 19,723,644.72
  5. Step 5: Solve for x
    x = 19,723,644.72/4,795.44
  6. Step 6: Final answer
    x = 4,113

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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.