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Finding the Fourth Proportional to 3,573.99, 4,932.39 and 2,158.41

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Solution

The fourth proportional to 3,573.99, 4,932.39 and 2,158.41 is: 2,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.99 : 4,932.39 = 2,158.41 : x
  2. Step 2: Convert to fraction form
    3,573.99/4,932.39 = 2,158.41/x
  3. Step 3: Cross multiply
    3,573.99x = 4,932.39 × 2,158.41
  4. Step 4: Simplify right side
    3,573.99x = 10,646,146.49
  5. Step 5: Solve for x
    x = 10,646,146.49/3,573.99
  6. Step 6: Final answer
    x = 2,978.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.