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Finding the Fourth Proportional to 5,219.53, 7,829.51 and 1,324.04

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Solution

The fourth proportional to 5,219.53, 7,829.51 and 1,324.04 is: 1,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.53 : 7,829.51 = 1,324.04 : x
  2. Step 2: Convert to fraction form
    5,219.53/7,829.51 = 1,324.04/x
  3. Step 3: Cross multiply
    5,219.53x = 7,829.51 × 1,324.04
  4. Step 4: Simplify right side
    5,219.53x = 10,366,538.65
  5. Step 5: Solve for x
    x = 10,366,538.65/5,219.53
  6. Step 6: Final answer
    x = 1,986.11

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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.