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Finding the Fourth Proportional to 3,727.76, 5,138.76 and 2,401.20

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Solution

The fourth proportional to 3,727.76, 5,138.76 and 2,401.20 is: 3,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.76 : 5,138.76 = 2,401.20 : x
  2. Step 2: Convert to fraction form
    3,727.76/5,138.76 = 2,401.20/x
  3. Step 3: Cross multiply
    3,727.76x = 5,138.76 × 2,401.20
  4. Step 4: Simplify right side
    3,727.76x = 12,339,190.51
  5. Step 5: Solve for x
    x = 12,339,190.51/3,727.76
  6. Step 6: Final answer
    x = 3,310.08

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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.