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Finding the Fourth Proportional to 5,186.32, 7,767.02 and 2,842.80

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Solution

The fourth proportional to 5,186.32, 7,767.02 and 2,842.80 is: 4,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.32 : 7,767.02 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    5,186.32/7,767.02 = 2,842.80/x
  3. Step 3: Cross multiply
    5,186.32x = 7,767.02 × 2,842.80
  4. Step 4: Simplify right side
    5,186.32x = 22,080,084.46
  5. Step 5: Solve for x
    x = 22,080,084.46/5,186.32
  6. Step 6: Final answer
    x = 4,257.37

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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.