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Finding the Fourth Proportional to 5,683.23, 7,842.78 and 3,165.27

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Solution

The fourth proportional to 5,683.23, 7,842.78 and 3,165.27 is: 4,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.23 : 7,842.78 = 3,165.27 : x
  2. Step 2: Convert to fraction form
    5,683.23/7,842.78 = 3,165.27/x
  3. Step 3: Cross multiply
    5,683.23x = 7,842.78 × 3,165.27
  4. Step 4: Simplify right side
    5,683.23x = 24,824,516.25
  5. Step 5: Solve for x
    x = 24,824,516.25/5,683.23
  6. Step 6: Final answer
    x = 4,368.03

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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.