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Finding the Fourth Proportional to 4,134.90, 6,194.13 and 2,494.65

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Solution

The fourth proportional to 4,134.90, 6,194.13 and 2,494.65 is: 3,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.90 : 6,194.13 = 2,494.65 : x
  2. Step 2: Convert to fraction form
    4,134.90/6,194.13 = 2,494.65/x
  3. Step 3: Cross multiply
    4,134.90x = 6,194.13 × 2,494.65
  4. Step 4: Simplify right side
    4,134.90x = 15,452,186.40
  5. Step 5: Solve for x
    x = 15,452,186.40/4,134.90
  6. Step 6: Final answer
    x = 3,737.02

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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.