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Finding the Fourth Proportional to 3,462.56, 5,193.82 and 997.40

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Solution

The fourth proportional to 3,462.56, 5,193.82 and 997.40 is: 1,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.56 : 5,193.82 = 997.40 : x
  2. Step 2: Convert to fraction form
    3,462.56/5,193.82 = 997.40/x
  3. Step 3: Cross multiply
    3,462.56x = 5,193.82 × 997.40
  4. Step 4: Simplify right side
    3,462.56x = 5,180,316.07
  5. Step 5: Solve for x
    x = 5,180,316.07/3,462.56
  6. Step 6: Final answer
    x = 1,496.09

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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.