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Finding the Fourth Proportional to 3,865.74, 5,793.98 and 2,532.21

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Solution

The fourth proportional to 3,865.74, 5,793.98 and 2,532.21 is: 3,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.74 : 5,793.98 = 2,532.21 : x
  2. Step 2: Convert to fraction form
    3,865.74/5,793.98 = 2,532.21/x
  3. Step 3: Cross multiply
    3,865.74x = 5,793.98 × 2,532.21
  4. Step 4: Simplify right side
    3,865.74x = 14,671,586.54
  5. Step 5: Solve for x
    x = 14,671,586.54/3,865.74
  6. Step 6: Final answer
    x = 3,795.28

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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.