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Finding the Fourth Proportional to 3,571.88, 5,357.76 and 974.82

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Solution

The fourth proportional to 3,571.88, 5,357.76 and 974.82 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.88 : 5,357.76 = 974.82 : x
  2. Step 2: Convert to fraction form
    3,571.88/5,357.76 = 974.82/x
  3. Step 3: Cross multiply
    3,571.88x = 5,357.76 × 974.82
  4. Step 4: Simplify right side
    3,571.88x = 5,222,851.60
  5. Step 5: Solve for x
    x = 5,222,851.60/3,571.88
  6. Step 6: Final answer
    x = 1,462.21

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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.