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Finding the Fourth Proportional to 3,601.46, 5,398.94 and 1,411.76

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Solution

The fourth proportional to 3,601.46, 5,398.94 and 1,411.76 is: 2,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.46 : 5,398.94 = 1,411.76 : x
  2. Step 2: Convert to fraction form
    3,601.46/5,398.94 = 1,411.76/x
  3. Step 3: Cross multiply
    3,601.46x = 5,398.94 × 1,411.76
  4. Step 4: Simplify right side
    3,601.46x = 7,622,007.53
  5. Step 5: Solve for x
    x = 7,622,007.53/3,601.46
  6. Step 6: Final answer
    x = 2,116.37

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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.