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Finding the Fourth Proportional to 5,219.68, 7,829.56 and 1,324.08

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Solution

The fourth proportional to 5,219.68, 7,829.56 and 1,324.08 is: 1,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.68 : 7,829.56 = 1,324.08 : x
  2. Step 2: Convert to fraction form
    5,219.68/7,829.56 = 1,324.08/x
  3. Step 3: Cross multiply
    5,219.68x = 7,829.56 × 1,324.08
  4. Step 4: Simplify right side
    5,219.68x = 10,366,963.80
  5. Step 5: Solve for x
    x = 10,366,963.80/5,219.68
  6. Step 6: Final answer
    x = 1,986.13

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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.