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Finding the Fourth Proportional to 5,243.47, 7,863.52 and 1,732.82

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Solution

The fourth proportional to 5,243.47, 7,863.52 and 1,732.82 is: 2,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.47 : 7,863.52 = 1,732.82 : x
  2. Step 2: Convert to fraction form
    5,243.47/7,863.52 = 1,732.82/x
  3. Step 3: Cross multiply
    5,243.47x = 7,863.52 × 1,732.82
  4. Step 4: Simplify right side
    5,243.47x = 13,626,064.73
  5. Step 5: Solve for x
    x = 13,626,064.73/5,243.47
  6. Step 6: Final answer
    x = 2,598.67

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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.