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Finding the Fourth Proportional to 3,743.16, 5,165.60 and 2,064.63

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Solution

The fourth proportional to 3,743.16, 5,165.60 and 2,064.63 is: 2,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.16 : 5,165.60 = 2,064.63 : x
  2. Step 2: Convert to fraction form
    3,743.16/5,165.60 = 2,064.63/x
  3. Step 3: Cross multiply
    3,743.16x = 5,165.60 × 2,064.63
  4. Step 4: Simplify right side
    3,743.16x = 10,665,052.73
  5. Step 5: Solve for x
    x = 10,665,052.73/3,743.16
  6. Step 6: Final answer
    x = 2,849.21

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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.