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Finding the Fourth Proportional to 5,186.70, 7,808.09 and 4,727.43

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Solution

The fourth proportional to 5,186.70, 7,808.09 and 4,727.43 is: 7,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.70 : 7,808.09 = 4,727.43 : x
  2. Step 2: Convert to fraction form
    5,186.70/7,808.09 = 4,727.43/x
  3. Step 3: Cross multiply
    5,186.70x = 7,808.09 × 4,727.43
  4. Step 4: Simplify right side
    5,186.70x = 36,912,175.27
  5. Step 5: Solve for x
    x = 36,912,175.27/5,186.70
  6. Step 6: Final answer
    x = 7,116.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.