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Finding the Fourth Proportional to 4,972.82, 7,453.02 and 2,633.36

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Solution

The fourth proportional to 4,972.82, 7,453.02 and 2,633.36 is: 3,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.82 : 7,453.02 = 2,633.36 : x
  2. Step 2: Convert to fraction form
    4,972.82/7,453.02 = 2,633.36/x
  3. Step 3: Cross multiply
    4,972.82x = 7,453.02 × 2,633.36
  4. Step 4: Simplify right side
    4,972.82x = 19,626,484.75
  5. Step 5: Solve for x
    x = 19,626,484.75/4,972.82
  6. Step 6: Final answer
    x = 3,946.75

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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.