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Finding the Fourth Proportional to 3,817.83, 5,727.42 and 1,354.08

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Solution

The fourth proportional to 3,817.83, 5,727.42 and 1,354.08 is: 2,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.83 : 5,727.42 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    3,817.83/5,727.42 = 1,354.08/x
  3. Step 3: Cross multiply
    3,817.83x = 5,727.42 × 1,354.08
  4. Step 4: Simplify right side
    3,817.83x = 7,755,384.87
  5. Step 5: Solve for x
    x = 7,755,384.87/3,817.83
  6. Step 6: Final answer
    x = 2,031.36

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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.