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Finding the Fourth Proportional to 3,462.86, 5,193.57 and 997.85

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Solution

The fourth proportional to 3,462.86, 5,193.57 and 997.85 is: 1,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.86 : 5,193.57 = 997.85 : x
  2. Step 2: Convert to fraction form
    3,462.86/5,193.57 = 997.85/x
  3. Step 3: Cross multiply
    3,462.86x = 5,193.57 × 997.85
  4. Step 4: Simplify right side
    3,462.86x = 5,182,403.82
  5. Step 5: Solve for x
    x = 5,182,403.82/3,462.86
  6. Step 6: Final answer
    x = 1,496.57

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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.