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Finding the Fourth Proportional to 3,139.36, 4,709.68 and 2,165.92

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Solution

The fourth proportional to 3,139.36, 4,709.68 and 2,165.92 is: 3,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.36 : 4,709.68 = 2,165.92 : x
  2. Step 2: Convert to fraction form
    3,139.36/4,709.68 = 2,165.92/x
  3. Step 3: Cross multiply
    3,139.36x = 4,709.68 × 2,165.92
  4. Step 4: Simplify right side
    3,139.36x = 10,200,790.11
  5. Step 5: Solve for x
    x = 10,200,790.11/3,139.36
  6. Step 6: Final answer
    x = 3,249.32

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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.