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Finding the Fourth Proportional to 5,322.33, 7,984.04 and 2,038.18

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Solution

The fourth proportional to 5,322.33, 7,984.04 and 2,038.18 is: 3,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.33 : 7,984.04 = 2,038.18 : x
  2. Step 2: Convert to fraction form
    5,322.33/7,984.04 = 2,038.18/x
  3. Step 3: Cross multiply
    5,322.33x = 7,984.04 × 2,038.18
  4. Step 4: Simplify right side
    5,322.33x = 16,272,910.65
  5. Step 5: Solve for x
    x = 16,272,910.65/5,322.33
  6. Step 6: Final answer
    x = 3,057.48

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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.