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Finding the Fourth Proportional to 3,584.70, 5,367.84 and 2,348.46

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Solution

The fourth proportional to 3,584.70, 5,367.84 and 2,348.46 is: 3,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.70 : 5,367.84 = 2,348.46 : x
  2. Step 2: Convert to fraction form
    3,584.70/5,367.84 = 2,348.46/x
  3. Step 3: Cross multiply
    3,584.70x = 5,367.84 × 2,348.46
  4. Step 4: Simplify right side
    3,584.70x = 12,606,157.53
  5. Step 5: Solve for x
    x = 12,606,157.53/3,584.70
  6. Step 6: Final answer
    x = 3,516.66

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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.