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Finding the Fourth Proportional to 5,181.57, 7,768.71 and 2,406.51

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Solution

The fourth proportional to 5,181.57, 7,768.71 and 2,406.51 is: 3,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.57 : 7,768.71 = 2,406.51 : x
  2. Step 2: Convert to fraction form
    5,181.57/7,768.71 = 2,406.51/x
  3. Step 3: Cross multiply
    5,181.57x = 7,768.71 × 2,406.51
  4. Step 4: Simplify right side
    5,181.57x = 18,695,478.30
  5. Step 5: Solve for x
    x = 18,695,478.30/5,181.57
  6. Step 6: Final answer
    x = 3,608.07

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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.