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Finding the Fourth Proportional to 3,743.81, 5,167.16 and 2,151.39

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Solution

The fourth proportional to 3,743.81, 5,167.16 and 2,151.39 is: 2,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.81 : 5,167.16 = 2,151.39 : x
  2. Step 2: Convert to fraction form
    3,743.81/5,167.16 = 2,151.39/x
  3. Step 3: Cross multiply
    3,743.81x = 5,167.16 × 2,151.39
  4. Step 4: Simplify right side
    3,743.81x = 11,116,565.60
  5. Step 5: Solve for x
    x = 11,116,565.60/3,743.81
  6. Step 6: Final answer
    x = 2,969.32

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Why These Related Problems?

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