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Finding the Fourth Proportional to 3,462.45, 5,194.47 and 997.29

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Solution

The fourth proportional to 3,462.45, 5,194.47 and 997.29 is: 1,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.45 : 5,194.47 = 997.29 : x
  2. Step 2: Convert to fraction form
    3,462.45/5,194.47 = 997.29/x
  3. Step 3: Cross multiply
    3,462.45x = 5,194.47 × 997.29
  4. Step 4: Simplify right side
    3,462.45x = 5,180,392.99
  5. Step 5: Solve for x
    x = 5,180,392.99/3,462.45
  6. Step 6: Final answer
    x = 1,496.16

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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.