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Finding the Fourth Proportional to 3,806.17, 5,709.71 and 1,340.48

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Solution

The fourth proportional to 3,806.17, 5,709.71 and 1,340.48 is: 2,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.17 : 5,709.71 = 1,340.48 : x
  2. Step 2: Convert to fraction form
    3,806.17/5,709.71 = 1,340.48/x
  3. Step 3: Cross multiply
    3,806.17x = 5,709.71 × 1,340.48
  4. Step 4: Simplify right side
    3,806.17x = 7,653,716.81
  5. Step 5: Solve for x
    x = 7,653,716.81/3,806.17
  6. Step 6: Final answer
    x = 2,010.87

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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.