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Finding the Fourth Proportional to 3,806.04, 5,709.53 and 1,340.36

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Solution

The fourth proportional to 3,806.04, 5,709.53 and 1,340.36 is: 2,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.04 : 5,709.53 = 1,340.36 : x
  2. Step 2: Convert to fraction form
    3,806.04/5,709.53 = 1,340.36/x
  3. Step 3: Cross multiply
    3,806.04x = 5,709.53 × 1,340.36
  4. Step 4: Simplify right side
    3,806.04x = 7,652,790.38
  5. Step 5: Solve for x
    x = 7,652,790.38/3,806.04
  6. Step 6: Final answer
    x = 2,010.70

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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.