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Finding the Fourth Proportional to 5,243.46, 7,863.52 and 1,732.81

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Solution

The fourth proportional to 5,243.46, 7,863.52 and 1,732.81 is: 2,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.46 : 7,863.52 = 1,732.81 : x
  2. Step 2: Convert to fraction form
    5,243.46/7,863.52 = 1,732.81/x
  3. Step 3: Cross multiply
    5,243.46x = 7,863.52 × 1,732.81
  4. Step 4: Simplify right side
    5,243.46x = 13,625,986.09
  5. Step 5: Solve for x
    x = 13,625,986.09/5,243.46
  6. Step 6: Final answer
    x = 2,598.66

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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.