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Finding the Fourth Proportional to 4,610.97, 6,916.67 and 1,324.53

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Solution

The fourth proportional to 4,610.97, 6,916.67 and 1,324.53 is: 1,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.97 : 6,916.67 = 1,324.53 : x
  2. Step 2: Convert to fraction form
    4,610.97/6,916.67 = 1,324.53/x
  3. Step 3: Cross multiply
    4,610.97x = 6,916.67 × 1,324.53
  4. Step 4: Simplify right side
    4,610.97x = 9,161,330.29
  5. Step 5: Solve for x
    x = 9,161,330.29/4,610.97
  6. Step 6: Final answer
    x = 1,986.86

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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.