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Finding the Fourth Proportional to 5,207.68, 7,186.59 and 2,849.83

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Solution

The fourth proportional to 5,207.68, 7,186.59 and 2,849.83 is: 3,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.68 : 7,186.59 = 2,849.83 : x
  2. Step 2: Convert to fraction form
    5,207.68/7,186.59 = 2,849.83/x
  3. Step 3: Cross multiply
    5,207.68x = 7,186.59 × 2,849.83
  4. Step 4: Simplify right side
    5,207.68x = 20,480,559.78
  5. Step 5: Solve for x
    x = 20,480,559.78/5,207.68
  6. Step 6: Final answer
    x = 3,932.76

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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.