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Finding the Fourth Proportional to 3,428.67, 5,136.12 and 1,577.20

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Solution

The fourth proportional to 3,428.67, 5,136.12 and 1,577.20 is: 2,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.67 : 5,136.12 = 1,577.20 : x
  2. Step 2: Convert to fraction form
    3,428.67/5,136.12 = 1,577.20/x
  3. Step 3: Cross multiply
    3,428.67x = 5,136.12 × 1,577.20
  4. Step 4: Simplify right side
    3,428.67x = 8,100,688.46
  5. Step 5: Solve for x
    x = 8,100,688.46/3,428.67
  6. Step 6: Final answer
    x = 2,362.63

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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.