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Finding the Fourth Proportional to 3,815.37, 5,714.94 and 2,171.07

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Solution

The fourth proportional to 3,815.37, 5,714.94 and 2,171.07 is: 3,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.37 : 5,714.94 = 2,171.07 : x
  2. Step 2: Convert to fraction form
    3,815.37/5,714.94 = 2,171.07/x
  3. Step 3: Cross multiply
    3,815.37x = 5,714.94 × 2,171.07
  4. Step 4: Simplify right side
    3,815.37x = 12,407,534.79
  5. Step 5: Solve for x
    x = 12,407,534.79/3,815.37
  6. Step 6: Final answer
    x = 3,251.99

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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.