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Finding the Fourth Proportional to 4,138.68, 6,206.10 and 1,539.78

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Solution

The fourth proportional to 4,138.68, 6,206.10 and 1,539.78 is: 2,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.68 : 6,206.10 = 1,539.78 : x
  2. Step 2: Convert to fraction form
    4,138.68/6,206.10 = 1,539.78/x
  3. Step 3: Cross multiply
    4,138.68x = 6,206.10 × 1,539.78
  4. Step 4: Simplify right side
    4,138.68x = 9,556,028.66
  5. Step 5: Solve for x
    x = 9,556,028.66/4,138.68
  6. Step 6: Final answer
    x = 2,308.96

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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.