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Finding the Fourth Proportional to 5,683.23, 7,842.86 and 3,165.83

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Solution

The fourth proportional to 5,683.23, 7,842.86 and 3,165.83 is: 4,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.23 : 7,842.86 = 3,165.83 : x
  2. Step 2: Convert to fraction form
    5,683.23/7,842.86 = 3,165.83/x
  3. Step 3: Cross multiply
    5,683.23x = 7,842.86 × 3,165.83
  4. Step 4: Simplify right side
    5,683.23x = 24,829,161.47
  5. Step 5: Solve for x
    x = 24,829,161.47/5,683.23
  6. Step 6: Final answer
    x = 4,368.85

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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.