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Finding the Fourth Proportional to 3,643.31, 5,463.21 and 1,974.77

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Solution

The fourth proportional to 3,643.31, 5,463.21 and 1,974.77 is: 2,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.31 : 5,463.21 = 1,974.77 : x
  2. Step 2: Convert to fraction form
    3,643.31/5,463.21 = 1,974.77/x
  3. Step 3: Cross multiply
    3,643.31x = 5,463.21 × 1,974.77
  4. Step 4: Simplify right side
    3,643.31x = 10,788,555.90
  5. Step 5: Solve for x
    x = 10,788,555.90/3,643.31
  6. Step 6: Final answer
    x = 2,961.20

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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.