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Finding the Fourth Proportional to 3,782.67, 5,674.60 and 1,592.02

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Solution

The fourth proportional to 3,782.67, 5,674.60 and 1,592.02 is: 2,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.67 : 5,674.60 = 1,592.02 : x
  2. Step 2: Convert to fraction form
    3,782.67/5,674.60 = 1,592.02/x
  3. Step 3: Cross multiply
    3,782.67x = 5,674.60 × 1,592.02
  4. Step 4: Simplify right side
    3,782.67x = 9,034,076.69
  5. Step 5: Solve for x
    x = 9,034,076.69/3,782.67
  6. Step 6: Final answer
    x = 2,388.28

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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.