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Finding the Fourth Proportional to 3,743.26, 5,165.60 and 2,064.60

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Solution

The fourth proportional to 3,743.26, 5,165.60 and 2,064.60 is: 2,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.26 : 5,165.60 = 2,064.60 : x
  2. Step 2: Convert to fraction form
    3,743.26/5,165.60 = 2,064.60/x
  3. Step 3: Cross multiply
    3,743.26x = 5,165.60 × 2,064.60
  4. Step 4: Simplify right side
    3,743.26x = 10,664,897.76
  5. Step 5: Solve for x
    x = 10,664,897.76/3,743.26
  6. Step 6: Final answer
    x = 2,849.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.