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Finding the Fourth Proportional to 5,683.89, 7,843.65 and 3,166.00

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Solution

The fourth proportional to 5,683.89, 7,843.65 and 3,166.00 is: 4,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.89 : 7,843.65 = 3,166.00 : x
  2. Step 2: Convert to fraction form
    5,683.89/7,843.65 = 3,166.00/x
  3. Step 3: Cross multiply
    5,683.89x = 7,843.65 × 3,166.00
  4. Step 4: Simplify right side
    5,683.89x = 24,832,956.68
  5. Step 5: Solve for x
    x = 24,832,956.68/5,683.89
  6. Step 6: Final answer
    x = 4,369.01

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