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Finding the Fourth Proportional to 4,114.67, 6,175.24 and 2,034.59

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Solution

The fourth proportional to 4,114.67, 6,175.24 and 2,034.59 is: 3,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.67 : 6,175.24 = 2,034.59 : x
  2. Step 2: Convert to fraction form
    4,114.67/6,175.24 = 2,034.59/x
  3. Step 3: Cross multiply
    4,114.67x = 6,175.24 × 2,034.59
  4. Step 4: Simplify right side
    4,114.67x = 12,564,045.59
  5. Step 5: Solve for x
    x = 12,564,045.59/4,114.67
  6. Step 6: Final answer
    x = 3,053.48

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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.