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Finding the Fourth Proportional to 3,310.88, 4,964.90 and 1,362.02

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Solution

The fourth proportional to 3,310.88, 4,964.90 and 1,362.02 is: 2,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.88 : 4,964.90 = 1,362.02 : x
  2. Step 2: Convert to fraction form
    3,310.88/4,964.90 = 1,362.02/x
  3. Step 3: Cross multiply
    3,310.88x = 4,964.90 × 1,362.02
  4. Step 4: Simplify right side
    3,310.88x = 6,762,261.46
  5. Step 5: Solve for x
    x = 6,762,261.46/3,310.88
  6. Step 6: Final answer
    x = 2,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.