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Finding the Fourth Proportional to 4,474.95, 6,178.23 and 2,882.31

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Solution

The fourth proportional to 4,474.95, 6,178.23 and 2,882.31 is: 3,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.95 : 6,178.23 = 2,882.31 : x
  2. Step 2: Convert to fraction form
    4,474.95/6,178.23 = 2,882.31/x
  3. Step 3: Cross multiply
    4,474.95x = 6,178.23 × 2,882.31
  4. Step 4: Simplify right side
    4,474.95x = 17,807,574.11
  5. Step 5: Solve for x
    x = 17,807,574.11/4,474.95
  6. Step 6: Final answer
    x = 3,979.39

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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.