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Finding the Fourth Proportional to 4,137, 6,205.56 and 1,539.96

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Solution

The fourth proportional to 4,137, 6,205.56 and 1,539.96 is: 2,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137 : 6,205.56 = 1,539.96 : x
  2. Step 2: Convert to fraction form
    4,137/6,205.56 = 1,539.96/x
  3. Step 3: Cross multiply
    4,137x = 6,205.56 × 1,539.96
  4. Step 4: Simplify right side
    4,137x = 9,556,314.18
  5. Step 5: Solve for x
    x = 9,556,314.18/4,137
  6. Step 6: Final answer
    x = 2,309.96

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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.