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Finding the Fourth Proportional to 5,791.24, 8,687.90 and 1,894.60

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Solution

The fourth proportional to 5,791.24, 8,687.90 and 1,894.60 is: 2,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.24 : 8,687.90 = 1,894.60 : x
  2. Step 2: Convert to fraction form
    5,791.24/8,687.90 = 1,894.60/x
  3. Step 3: Cross multiply
    5,791.24x = 8,687.90 × 1,894.60
  4. Step 4: Simplify right side
    5,791.24x = 16,460,095.34
  5. Step 5: Solve for x
    x = 16,460,095.34/5,791.24
  6. Step 6: Final answer
    x = 2,842.24

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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.