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Finding the Fourth Proportional to 4,964.49, 7,447.88 and 1,454.42

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Solution

The fourth proportional to 4,964.49, 7,447.88 and 1,454.42 is: 2,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.49 : 7,447.88 = 1,454.42 : x
  2. Step 2: Convert to fraction form
    4,964.49/7,447.88 = 1,454.42/x
  3. Step 3: Cross multiply
    4,964.49x = 7,447.88 × 1,454.42
  4. Step 4: Simplify right side
    4,964.49x = 10,832,301.12
  5. Step 5: Solve for x
    x = 10,832,301.12/4,964.49
  6. Step 6: Final answer
    x = 2,181.96

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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.