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Finding the Fourth Proportional to 3,541.32, 5,311.71 and 1,232.82

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Solution

The fourth proportional to 3,541.32, 5,311.71 and 1,232.82 is: 1,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.32 : 5,311.71 = 1,232.82 : x
  2. Step 2: Convert to fraction form
    3,541.32/5,311.71 = 1,232.82/x
  3. Step 3: Cross multiply
    3,541.32x = 5,311.71 × 1,232.82
  4. Step 4: Simplify right side
    3,541.32x = 6,548,382.32
  5. Step 5: Solve for x
    x = 6,548,382.32/3,541.32
  6. Step 6: Final answer
    x = 1,849.14

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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.