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Finding the Fourth Proportional to 5,205.94, 7,181.99 and 3,190.14

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Solution

The fourth proportional to 5,205.94, 7,181.99 and 3,190.14 is: 4,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.94 : 7,181.99 = 3,190.14 : x
  2. Step 2: Convert to fraction form
    5,205.94/7,181.99 = 3,190.14/x
  3. Step 3: Cross multiply
    5,205.94x = 7,181.99 × 3,190.14
  4. Step 4: Simplify right side
    5,205.94x = 22,911,543.60
  5. Step 5: Solve for x
    x = 22,911,543.60/5,205.94
  6. Step 6: Final answer
    x = 4,401.04

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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.