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Finding the Fourth Proportional to 5,186.70, 7,781.40 and 2,720.86

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Solution

The fourth proportional to 5,186.70, 7,781.40 and 2,720.86 is: 4,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.70 : 7,781.40 = 2,720.86 : x
  2. Step 2: Convert to fraction form
    5,186.70/7,781.40 = 2,720.86/x
  3. Step 3: Cross multiply
    5,186.70x = 7,781.40 × 2,720.86
  4. Step 4: Simplify right side
    5,186.70x = 21,172,080.55
  5. Step 5: Solve for x
    x = 21,172,080.55/5,186.70
  6. Step 6: Final answer
    x = 4,081.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.