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Finding the Fourth Proportional to 5,655.11, 7,806.73 and 3,769.83

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Solution

The fourth proportional to 5,655.11, 7,806.73 and 3,769.83 is: 5,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.11 : 7,806.73 = 3,769.83 : x
  2. Step 2: Convert to fraction form
    5,655.11/7,806.73 = 3,769.83/x
  3. Step 3: Cross multiply
    5,655.11x = 7,806.73 × 3,769.83
  4. Step 4: Simplify right side
    5,655.11x = 29,430,035.53
  5. Step 5: Solve for x
    x = 29,430,035.53/5,655.11
  6. Step 6: Final answer
    x = 5,204.15

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Why These Related Problems?

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