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Finding the Fourth Proportional to 5,842.02, 8,762.67 and 2,379.18

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Solution

The fourth proportional to 5,842.02, 8,762.67 and 2,379.18 is: 3,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.02 : 8,762.67 = 2,379.18 : x
  2. Step 2: Convert to fraction form
    5,842.02/8,762.67 = 2,379.18/x
  3. Step 3: Cross multiply
    5,842.02x = 8,762.67 × 2,379.18
  4. Step 4: Simplify right side
    5,842.02x = 20,847,969.21
  5. Step 5: Solve for x
    x = 20,847,969.21/5,842.02
  6. Step 6: Final answer
    x = 3,568.62

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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.