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Finding the Fourth Proportional to 4,493.52, 6,734.34 and 2,847.24

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Solution

The fourth proportional to 4,493.52, 6,734.34 and 2,847.24 is: 4,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.52 : 6,734.34 = 2,847.24 : x
  2. Step 2: Convert to fraction form
    4,493.52/6,734.34 = 2,847.24/x
  3. Step 3: Cross multiply
    4,493.52x = 6,734.34 × 2,847.24
  4. Step 4: Simplify right side
    4,493.52x = 19,174,282.22
  5. Step 5: Solve for x
    x = 19,174,282.22/4,493.52
  6. Step 6: Final answer
    x = 4,267.10

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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.