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Finding the Fourth Proportional to 5,181.86, 7,772.70 and 1,286.12

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Solution

The fourth proportional to 5,181.86, 7,772.70 and 1,286.12 is: 1,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.86 : 7,772.70 = 1,286.12 : x
  2. Step 2: Convert to fraction form
    5,181.86/7,772.70 = 1,286.12/x
  3. Step 3: Cross multiply
    5,181.86x = 7,772.70 × 1,286.12
  4. Step 4: Simplify right side
    5,181.86x = 9,996,624.92
  5. Step 5: Solve for x
    x = 9,996,624.92/5,181.86
  6. Step 6: Final answer
    x = 1,929.16

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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.