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Finding the Fourth Proportional to 5,207.66, 7,186.58 and 2,849.80

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Solution

The fourth proportional to 5,207.66, 7,186.58 and 2,849.80 is: 3,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.66 : 7,186.58 = 2,849.80 : x
  2. Step 2: Convert to fraction form
    5,207.66/7,186.58 = 2,849.80/x
  3. Step 3: Cross multiply
    5,207.66x = 7,186.58 × 2,849.80
  4. Step 4: Simplify right side
    5,207.66x = 20,480,315.68
  5. Step 5: Solve for x
    x = 20,480,315.68/5,207.66
  6. Step 6: Final answer
    x = 3,932.73

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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.