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Finding the Fourth Proportional to 5,321.59, 7,982.37 and 2,396.47

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Solution

The fourth proportional to 5,321.59, 7,982.37 and 2,396.47 is: 3,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.59 : 7,982.37 = 2,396.47 : x
  2. Step 2: Convert to fraction form
    5,321.59/7,982.37 = 2,396.47/x
  3. Step 3: Cross multiply
    5,321.59x = 7,982.37 × 2,396.47
  4. Step 4: Simplify right side
    5,321.59x = 19,129,510.23
  5. Step 5: Solve for x
    x = 19,129,510.23/5,321.59
  6. Step 6: Final answer
    x = 3,594.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.