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Finding the Fourth Proportional to 3,806.66, 5,707.41 and 1,341.16

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Solution

The fourth proportional to 3,806.66, 5,707.41 and 1,341.16 is: 2,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.66 : 5,707.41 = 1,341.16 : x
  2. Step 2: Convert to fraction form
    3,806.66/5,707.41 = 1,341.16/x
  3. Step 3: Cross multiply
    3,806.66x = 5,707.41 × 1,341.16
  4. Step 4: Simplify right side
    3,806.66x = 7,654,550.00
  5. Step 5: Solve for x
    x = 7,654,550.00/3,806.66
  6. Step 6: Final answer
    x = 2,010.83

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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.