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Finding the Fourth Proportional to 3,638.72, 5,013.50 and 3,039.12

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Solution

The fourth proportional to 3,638.72, 5,013.50 and 3,039.12 is: 4,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.72 : 5,013.50 = 3,039.12 : x
  2. Step 2: Convert to fraction form
    3,638.72/5,013.50 = 3,039.12/x
  3. Step 3: Cross multiply
    3,638.72x = 5,013.50 × 3,039.12
  4. Step 4: Simplify right side
    3,638.72x = 15,236,612.92
  5. Step 5: Solve for x
    x = 15,236,612.92/3,638.72
  6. Step 6: Final answer
    x = 4,187.35

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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.