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Finding the Fourth Proportional to 3,650.96, 5,044.72 and 2,871.20

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Solution

The fourth proportional to 3,650.96, 5,044.72 and 2,871.20 is: 3,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.96 : 5,044.72 = 2,871.20 : x
  2. Step 2: Convert to fraction form
    3,650.96/5,044.72 = 2,871.20/x
  3. Step 3: Cross multiply
    3,650.96x = 5,044.72 × 2,871.20
  4. Step 4: Simplify right side
    3,650.96x = 14,484,400.06
  5. Step 5: Solve for x
    x = 14,484,400.06/3,650.96
  6. Step 6: Final answer
    x = 3,967.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.