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Finding the Fourth Proportional to 3,216.95, 4,437.82 and 2,023.41

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Solution

The fourth proportional to 3,216.95, 4,437.82 and 2,023.41 is: 2,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.95 : 4,437.82 = 2,023.41 : x
  2. Step 2: Convert to fraction form
    3,216.95/4,437.82 = 2,023.41/x
  3. Step 3: Cross multiply
    3,216.95x = 4,437.82 × 2,023.41
  4. Step 4: Simplify right side
    3,216.95x = 8,979,548.54
  5. Step 5: Solve for x
    x = 8,979,548.54/3,216.95
  6. Step 6: Final answer
    x = 2,791.32

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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.