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Finding the Fourth Proportional to 4,086.81, 6,129.53 and 1,164.42

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Solution

The fourth proportional to 4,086.81, 6,129.53 and 1,164.42 is: 1,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.81 : 6,129.53 = 1,164.42 : x
  2. Step 2: Convert to fraction form
    4,086.81/6,129.53 = 1,164.42/x
  3. Step 3: Cross multiply
    4,086.81x = 6,129.53 × 1,164.42
  4. Step 4: Simplify right side
    4,086.81x = 7,137,345.87
  5. Step 5: Solve for x
    x = 7,137,345.87/4,086.81
  6. Step 6: Final answer
    x = 1,746.43

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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.