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Finding the Fourth Proportional to 4,129.65, 6,189.62 and 2,049.03

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Solution

The fourth proportional to 4,129.65, 6,189.62 and 2,049.03 is: 3,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.65 : 6,189.62 = 2,049.03 : x
  2. Step 2: Convert to fraction form
    4,129.65/6,189.62 = 2,049.03/x
  3. Step 3: Cross multiply
    4,129.65x = 6,189.62 × 2,049.03
  4. Step 4: Simplify right side
    4,129.65x = 12,682,706.82
  5. Step 5: Solve for x
    x = 12,682,706.82/4,129.65
  6. Step 6: Final answer
    x = 3,071.13

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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.