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Finding the Fourth Proportional to 3,778.93, 5,662.62 and 1,586.46

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Solution

The fourth proportional to 3,778.93, 5,662.62 and 1,586.46 is: 2,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.93 : 5,662.62 = 1,586.46 : x
  2. Step 2: Convert to fraction form
    3,778.93/5,662.62 = 1,586.46/x
  3. Step 3: Cross multiply
    3,778.93x = 5,662.62 × 1,586.46
  4. Step 4: Simplify right side
    3,778.93x = 8,983,520.13
  5. Step 5: Solve for x
    x = 8,983,520.13/3,778.93
  6. Step 6: Final answer
    x = 2,377.27

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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.