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Finding the Fourth Proportional to 3,498.20, 5,237.70 and 2,730.20

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Solution

The fourth proportional to 3,498.20, 5,237.70 and 2,730.20 is: 4,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.20 : 5,237.70 = 2,730.20 : x
  2. Step 2: Convert to fraction form
    3,498.20/5,237.70 = 2,730.20/x
  3. Step 3: Cross multiply
    3,498.20x = 5,237.70 × 2,730.20
  4. Step 4: Simplify right side
    3,498.20x = 14,299,968.54
  5. Step 5: Solve for x
    x = 14,299,968.54/3,498.20
  6. Step 6: Final answer
    x = 4,087.81

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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.