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Finding the Fourth Proportional to 4,194.90, 5,790.72 and 2,832.42

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Solution

The fourth proportional to 4,194.90, 5,790.72 and 2,832.42 is: 3,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.90 : 5,790.72 = 2,832.42 : x
  2. Step 2: Convert to fraction form
    4,194.90/5,790.72 = 2,832.42/x
  3. Step 3: Cross multiply
    4,194.90x = 5,790.72 × 2,832.42
  4. Step 4: Simplify right side
    4,194.90x = 16,401,751.14
  5. Step 5: Solve for x
    x = 16,401,751.14/4,194.90
  6. Step 6: Final answer
    x = 3,909.93

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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.