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Finding the Fourth Proportional to 4,138.46, 5,709.17 and 2,645.63

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Solution

The fourth proportional to 4,138.46, 5,709.17 and 2,645.63 is: 3,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.46 : 5,709.17 = 2,645.63 : x
  2. Step 2: Convert to fraction form
    4,138.46/5,709.17 = 2,645.63/x
  3. Step 3: Cross multiply
    4,138.46x = 5,709.17 × 2,645.63
  4. Step 4: Simplify right side
    4,138.46x = 15,104,309.65
  5. Step 5: Solve for x
    x = 15,104,309.65/4,138.46
  6. Step 6: Final answer
    x = 3,649.75

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