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Finding the Fourth Proportional to 3,410.82, 5,117.44 and 1,951.20

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Solution

The fourth proportional to 3,410.82, 5,117.44 and 1,951.20 is: 2,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.82 : 5,117.44 = 1,951.20 : x
  2. Step 2: Convert to fraction form
    3,410.82/5,117.44 = 1,951.20/x
  3. Step 3: Cross multiply
    3,410.82x = 5,117.44 × 1,951.20
  4. Step 4: Simplify right side
    3,410.82x = 9,985,148.93
  5. Step 5: Solve for x
    x = 9,985,148.93/3,410.82
  6. Step 6: Final answer
    x = 2,927.49

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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.