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Finding the Fourth Proportional to 3,795.70, 5,694.02 and 1,486.90

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Solution

The fourth proportional to 3,795.70, 5,694.02 and 1,486.90 is: 2,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.70 : 5,694.02 = 1,486.90 : x
  2. Step 2: Convert to fraction form
    3,795.70/5,694.02 = 1,486.90/x
  3. Step 3: Cross multiply
    3,795.70x = 5,694.02 × 1,486.90
  4. Step 4: Simplify right side
    3,795.70x = 8,466,438.34
  5. Step 5: Solve for x
    x = 8,466,438.34/3,795.70
  6. Step 6: Final answer
    x = 2,230.53

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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.