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Finding the Fourth Proportional to 3,650.97, 5,038.29 and 2,079.03

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Solution

The fourth proportional to 3,650.97, 5,038.29 and 2,079.03 is: 2,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.97 : 5,038.29 = 2,079.03 : x
  2. Step 2: Convert to fraction form
    3,650.97/5,038.29 = 2,079.03/x
  3. Step 3: Cross multiply
    3,650.97x = 5,038.29 × 2,079.03
  4. Step 4: Simplify right side
    3,650.97x = 10,474,756.06
  5. Step 5: Solve for x
    x = 10,474,756.06/3,650.97
  6. Step 6: Final answer
    x = 2,869.03

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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.