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Finding the Fourth Proportional to 5,181.47, 7,772.20 and 1,285.88

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Solution

The fourth proportional to 5,181.47, 7,772.20 and 1,285.88 is: 1,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.47 : 7,772.20 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    5,181.47/7,772.20 = 1,285.88/x
  3. Step 3: Cross multiply
    5,181.47x = 7,772.20 × 1,285.88
  4. Step 4: Simplify right side
    5,181.47x = 9,994,081.69
  5. Step 5: Solve for x
    x = 9,994,081.69/5,181.47
  6. Step 6: Final answer
    x = 1,928.81

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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.