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Finding the Fourth Proportional to 3,743.39, 5,165.64 and 2,064.71

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Solution

The fourth proportional to 3,743.39, 5,165.64 and 2,064.71 is: 2,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.39 : 5,165.64 = 2,064.71 : x
  2. Step 2: Convert to fraction form
    3,743.39/5,165.64 = 2,064.71/x
  3. Step 3: Cross multiply
    3,743.39x = 5,165.64 × 2,064.71
  4. Step 4: Simplify right side
    3,743.39x = 10,665,522.74
  5. Step 5: Solve for x
    x = 10,665,522.74/3,743.39
  6. Step 6: Final answer
    x = 2,849.16

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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.