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Finding the Fourth Proportional to 4,086.40, 6,129.56 and 1,164.70

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Solution

The fourth proportional to 4,086.40, 6,129.56 and 1,164.70 is: 1,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.40 : 6,129.56 = 1,164.70 : x
  2. Step 2: Convert to fraction form
    4,086.40/6,129.56 = 1,164.70/x
  3. Step 3: Cross multiply
    4,086.40x = 6,129.56 × 1,164.70
  4. Step 4: Simplify right side
    4,086.40x = 7,139,067.88
  5. Step 5: Solve for x
    x = 7,139,067.88/4,086.40
  6. Step 6: Final answer
    x = 1,747.03

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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.