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Finding the Fourth Proportional to 3,777.42, 5,661.36 and 1,694.46

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Solution

The fourth proportional to 3,777.42, 5,661.36 and 1,694.46 is: 2,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.42 : 5,661.36 = 1,694.46 : x
  2. Step 2: Convert to fraction form
    3,777.42/5,661.36 = 1,694.46/x
  3. Step 3: Cross multiply
    3,777.42x = 5,661.36 × 1,694.46
  4. Step 4: Simplify right side
    3,777.42x = 9,592,948.07
  5. Step 5: Solve for x
    x = 9,592,948.07/3,777.42
  6. Step 6: Final answer
    x = 2,539.55

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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.