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Finding the Fourth Proportional to 5,605.92, 7,736.34 and 3,249.48

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Solution

The fourth proportional to 5,605.92, 7,736.34 and 3,249.48 is: 4,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.92 : 7,736.34 = 3,249.48 : x
  2. Step 2: Convert to fraction form
    5,605.92/7,736.34 = 3,249.48/x
  3. Step 3: Cross multiply
    5,605.92x = 7,736.34 × 3,249.48
  4. Step 4: Simplify right side
    5,605.92x = 25,139,082.10
  5. Step 5: Solve for x
    x = 25,139,082.10/5,605.92
  6. Step 6: Final answer
    x = 4,484.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.