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Finding the Fourth Proportional to 4,200.70, 6,293.85 and 2,739.10

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Solution

The fourth proportional to 4,200.70, 6,293.85 and 2,739.10 is: 4,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.70 : 6,293.85 = 2,739.10 : x
  2. Step 2: Convert to fraction form
    4,200.70/6,293.85 = 2,739.10/x
  3. Step 3: Cross multiply
    4,200.70x = 6,293.85 × 2,739.10
  4. Step 4: Simplify right side
    4,200.70x = 17,239,484.54
  5. Step 5: Solve for x
    x = 17,239,484.54/4,200.70
  6. Step 6: Final answer
    x = 4,103.96

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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.