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Finding the Fourth Proportional to 5,006.50, 7,493.46 and 2,663.14

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Solution

The fourth proportional to 5,006.50, 7,493.46 and 2,663.14 is: 3,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.50 : 7,493.46 = 2,663.14 : x
  2. Step 2: Convert to fraction form
    5,006.50/7,493.46 = 2,663.14/x
  3. Step 3: Cross multiply
    5,006.50x = 7,493.46 × 2,663.14
  4. Step 4: Simplify right side
    5,006.50x = 19,956,133.06
  5. Step 5: Solve for x
    x = 19,956,133.06/5,006.50
  6. Step 6: Final answer
    x = 3,986.04

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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.