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Finding the Fourth Proportional to 3,427.94, 4,727.03 and 2,932.22

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Solution

The fourth proportional to 3,427.94, 4,727.03 and 2,932.22 is: 4,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.94 : 4,727.03 = 2,932.22 : x
  2. Step 2: Convert to fraction form
    3,427.94/4,727.03 = 2,932.22/x
  3. Step 3: Cross multiply
    3,427.94x = 4,727.03 × 2,932.22
  4. Step 4: Simplify right side
    3,427.94x = 13,860,689.06
  5. Step 5: Solve for x
    x = 13,860,689.06/3,427.94
  6. Step 6: Final answer
    x = 4,043.44

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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.