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Finding the Fourth Proportional to 5,169.54, 7,130.32 and 3,181.20

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Solution

The fourth proportional to 5,169.54, 7,130.32 and 3,181.20 is: 4,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.54 : 7,130.32 = 3,181.20 : x
  2. Step 2: Convert to fraction form
    5,169.54/7,130.32 = 3,181.20/x
  3. Step 3: Cross multiply
    5,169.54x = 7,130.32 × 3,181.20
  4. Step 4: Simplify right side
    5,169.54x = 22,682,973.98
  5. Step 5: Solve for x
    x = 22,682,973.98/5,169.54
  6. Step 6: Final answer
    x = 4,387.81

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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.