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Finding the Fourth Proportional to 3,329.82, 4,993.70 and 1,573.82

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Solution

The fourth proportional to 3,329.82, 4,993.70 and 1,573.82 is: 2,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.82 : 4,993.70 = 1,573.82 : x
  2. Step 2: Convert to fraction form
    3,329.82/4,993.70 = 1,573.82/x
  3. Step 3: Cross multiply
    3,329.82x = 4,993.70 × 1,573.82
  4. Step 4: Simplify right side
    3,329.82x = 7,859,184.93
  5. Step 5: Solve for x
    x = 7,859,184.93/3,329.82
  6. Step 6: Final answer
    x = 2,360.24

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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.