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Finding the Fourth Proportional to 3,584.24, 5,377.07 and 1,393.19

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Solution

The fourth proportional to 3,584.24, 5,377.07 and 1,393.19 is: 2,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.24 : 5,377.07 = 1,393.19 : x
  2. Step 2: Convert to fraction form
    3,584.24/5,377.07 = 1,393.19/x
  3. Step 3: Cross multiply
    3,584.24x = 5,377.07 × 1,393.19
  4. Step 4: Simplify right side
    3,584.24x = 7,491,280.15
  5. Step 5: Solve for x
    x = 7,491,280.15/3,584.24
  6. Step 6: Final answer
    x = 2,090.06

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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.