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Finding the Fourth Proportional to 3,427.44, 5,130.21 and 1,781.73

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Solution

The fourth proportional to 3,427.44, 5,130.21 and 1,781.73 is: 2,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.44 : 5,130.21 = 1,781.73 : x
  2. Step 2: Convert to fraction form
    3,427.44/5,130.21 = 1,781.73/x
  3. Step 3: Cross multiply
    3,427.44x = 5,130.21 × 1,781.73
  4. Step 4: Simplify right side
    3,427.44x = 9,140,649.06
  5. Step 5: Solve for x
    x = 9,140,649.06/3,427.44
  6. Step 6: Final answer
    x = 2,666.90

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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.