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Finding the Fourth Proportional to 3,516.81, 5,273.62 and 1,323.98

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Solution

The fourth proportional to 3,516.81, 5,273.62 and 1,323.98 is: 1,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.81 : 5,273.62 = 1,323.98 : x
  2. Step 2: Convert to fraction form
    3,516.81/5,273.62 = 1,323.98/x
  3. Step 3: Cross multiply
    3,516.81x = 5,273.62 × 1,323.98
  4. Step 4: Simplify right side
    3,516.81x = 6,982,167.41
  5. Step 5: Solve for x
    x = 6,982,167.41/3,516.81
  6. Step 6: Final answer
    x = 1,985.37

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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.