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Finding the Fourth Proportional to 3,807.96, 5,714.01 and 1,727.82

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Solution

The fourth proportional to 3,807.96, 5,714.01 and 1,727.82 is: 2,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.96 : 5,714.01 = 1,727.82 : x
  2. Step 2: Convert to fraction form
    3,807.96/5,714.01 = 1,727.82/x
  3. Step 3: Cross multiply
    3,807.96x = 5,714.01 × 1,727.82
  4. Step 4: Simplify right side
    3,807.96x = 9,872,780.76
  5. Step 5: Solve for x
    x = 9,872,780.76/3,807.96
  6. Step 6: Final answer
    x = 2,592.67

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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.