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Finding the Fourth Proportional to 3,577.80, 5,337.99 and 3,183.11

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Solution

The fourth proportional to 3,577.80, 5,337.99 and 3,183.11 is: 4,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.80 : 5,337.99 = 3,183.11 : x
  2. Step 2: Convert to fraction form
    3,577.80/5,337.99 = 3,183.11/x
  3. Step 3: Cross multiply
    3,577.80x = 5,337.99 × 3,183.11
  4. Step 4: Simplify right side
    3,577.80x = 16,991,405.71
  5. Step 5: Solve for x
    x = 16,991,405.71/3,577.80
  6. Step 6: Final answer
    x = 4,749.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.