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Finding the Fourth Proportional to 3,709.81, 5,564.72 and 2,249.38

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Solution

The fourth proportional to 3,709.81, 5,564.72 and 2,249.38 is: 3,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.81 : 5,564.72 = 2,249.38 : x
  2. Step 2: Convert to fraction form
    3,709.81/5,564.72 = 2,249.38/x
  3. Step 3: Cross multiply
    3,709.81x = 5,564.72 × 2,249.38
  4. Step 4: Simplify right side
    3,709.81x = 12,517,158.63
  5. Step 5: Solve for x
    x = 12,517,158.63/3,709.81
  6. Step 6: Final answer
    x = 3,374.07

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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.