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Finding the Fourth Proportional to 5,186.57, 7,781.79 and 3,108.06

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Solution

The fourth proportional to 5,186.57, 7,781.79 and 3,108.06 is: 4,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.57 : 7,781.79 = 3,108.06 : x
  2. Step 2: Convert to fraction form
    5,186.57/7,781.79 = 3,108.06/x
  3. Step 3: Cross multiply
    5,186.57x = 7,781.79 × 3,108.06
  4. Step 4: Simplify right side
    5,186.57x = 24,186,270.23
  5. Step 5: Solve for x
    x = 24,186,270.23/5,186.57
  6. Step 6: Final answer
    x = 4,663.25

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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.