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Finding the Fourth Proportional to 5,181.64, 7,138.50 and 3,606.92

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Solution

The fourth proportional to 5,181.64, 7,138.50 and 3,606.92 is: 4,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.64 : 7,138.50 = 3,606.92 : x
  2. Step 2: Convert to fraction form
    5,181.64/7,138.50 = 3,606.92/x
  3. Step 3: Cross multiply
    5,181.64x = 7,138.50 × 3,606.92
  4. Step 4: Simplify right side
    5,181.64x = 25,747,998.42
  5. Step 5: Solve for x
    x = 25,747,998.42/5,181.64
  6. Step 6: Final answer
    x = 4,969.08

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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.