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Finding the Fourth Proportional to 4,541.06, 6,811.59 and 1,463.06

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Solution

The fourth proportional to 4,541.06, 6,811.59 and 1,463.06 is: 2,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.06 : 6,811.59 = 1,463.06 : x
  2. Step 2: Convert to fraction form
    4,541.06/6,811.59 = 1,463.06/x
  3. Step 3: Cross multiply
    4,541.06x = 6,811.59 × 1,463.06
  4. Step 4: Simplify right side
    4,541.06x = 9,965,787.38
  5. Step 5: Solve for x
    x = 9,965,787.38/4,541.06
  6. Step 6: Final answer
    x = 2,194.59

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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.