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Finding the Fourth Proportional to 5,468.92, 8,203.24 and 1,520.44

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Solution

The fourth proportional to 5,468.92, 8,203.24 and 1,520.44 is: 2,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.92 : 8,203.24 = 1,520.44 : x
  2. Step 2: Convert to fraction form
    5,468.92/8,203.24 = 1,520.44/x
  3. Step 3: Cross multiply
    5,468.92x = 8,203.24 × 1,520.44
  4. Step 4: Simplify right side
    5,468.92x = 12,472,534.23
  5. Step 5: Solve for x
    x = 12,472,534.23/5,468.92
  6. Step 6: Final answer
    x = 2,280.62

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1.5x scale

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.