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Finding the Fourth Proportional to 4,086.33, 6,129.33 and 1,164.62

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Solution

The fourth proportional to 4,086.33, 6,129.33 and 1,164.62 is: 1,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.33 : 6,129.33 = 1,164.62 : x
  2. Step 2: Convert to fraction form
    4,086.33/6,129.33 = 1,164.62/x
  3. Step 3: Cross multiply
    4,086.33x = 6,129.33 × 1,164.62
  4. Step 4: Simplify right side
    4,086.33x = 7,138,351.26
  5. Step 5: Solve for x
    x = 7,138,351.26/4,086.33
  6. Step 6: Final answer
    x = 1,746.89

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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.