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Finding the Fourth Proportional to 4,098.15, 6,147.21 and 1,757.96

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Solution

The fourth proportional to 4,098.15, 6,147.21 and 1,757.96 is: 2,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.15 : 6,147.21 = 1,757.96 : x
  2. Step 2: Convert to fraction form
    4,098.15/6,147.21 = 1,757.96/x
  3. Step 3: Cross multiply
    4,098.15x = 6,147.21 × 1,757.96
  4. Step 4: Simplify right side
    4,098.15x = 10,806,518.56
  5. Step 5: Solve for x
    x = 10,806,518.56/4,098.15
  6. Step 6: Final answer
    x = 2,636.93

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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.