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Finding the Fourth Proportional to 5,251.15, 7,871.14 and 2,783.44

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Solution

The fourth proportional to 5,251.15, 7,871.14 and 2,783.44 is: 4,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.15 : 7,871.14 = 2,783.44 : x
  2. Step 2: Convert to fraction form
    5,251.15/7,871.14 = 2,783.44/x
  3. Step 3: Cross multiply
    5,251.15x = 7,871.14 × 2,783.44
  4. Step 4: Simplify right side
    5,251.15x = 21,908,845.92
  5. Step 5: Solve for x
    x = 21,908,845.92/5,251.15
  6. Step 6: Final answer
    x = 4,172.20

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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.