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Finding the Fourth Proportional to 5,207.68, 7,186.50 and 2,849.86

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Solution

The fourth proportional to 5,207.68, 7,186.50 and 2,849.86 is: 3,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.68 : 7,186.50 = 2,849.86 : x
  2. Step 2: Convert to fraction form
    5,207.68/7,186.50 = 2,849.86/x
  3. Step 3: Cross multiply
    5,207.68x = 7,186.50 × 2,849.86
  4. Step 4: Simplify right side
    5,207.68x = 20,480,518.89
  5. Step 5: Solve for x
    x = 20,480,518.89/5,207.68
  6. Step 6: Final answer
    x = 3,932.75

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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.