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Finding the Fourth Proportional to 3,571.42, 5,357.62 and 1,106.42

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Solution

The fourth proportional to 3,571.42, 5,357.62 and 1,106.42 is: 1,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.42 : 5,357.62 = 1,106.42 : x
  2. Step 2: Convert to fraction form
    3,571.42/5,357.62 = 1,106.42/x
  3. Step 3: Cross multiply
    3,571.42x = 5,357.62 × 1,106.42
  4. Step 4: Simplify right side
    3,571.42x = 5,927,777.92
  5. Step 5: Solve for x
    x = 5,927,777.92/3,571.42
  6. Step 6: Final answer
    x = 1,659.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.