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Finding the Fourth Proportional to 3,764.39, 5,646.31 and 1,167.26

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Solution

The fourth proportional to 3,764.39, 5,646.31 and 1,167.26 is: 1,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.39 : 5,646.31 = 1,167.26 : x
  2. Step 2: Convert to fraction form
    3,764.39/5,646.31 = 1,167.26/x
  3. Step 3: Cross multiply
    3,764.39x = 5,646.31 × 1,167.26
  4. Step 4: Simplify right side
    3,764.39x = 6,590,680.66
  5. Step 5: Solve for x
    x = 6,590,680.66/3,764.39
  6. Step 6: Final answer
    x = 1,750.80

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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.