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Finding the Fourth Proportional to 4,964.48, 7,446.72 and 1,266.78

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Solution

The fourth proportional to 4,964.48, 7,446.72 and 1,266.78 is: 1,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.48 : 7,446.72 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    4,964.48/7,446.72 = 1,266.78/x
  3. Step 3: Cross multiply
    4,964.48x = 7,446.72 × 1,266.78
  4. Step 4: Simplify right side
    4,964.48x = 9,433,355.96
  5. Step 5: Solve for x
    x = 9,433,355.96/4,964.48
  6. Step 6: Final answer
    x = 1,900.17

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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.