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Finding the Fourth Proportional to 4,772.99, 7,157.25 and 2,434.25

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Solution

The fourth proportional to 4,772.99, 7,157.25 and 2,434.25 is: 3,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.99 : 7,157.25 = 2,434.25 : x
  2. Step 2: Convert to fraction form
    4,772.99/7,157.25 = 2,434.25/x
  3. Step 3: Cross multiply
    4,772.99x = 7,157.25 × 2,434.25
  4. Step 4: Simplify right side
    4,772.99x = 17,422,553.71
  5. Step 5: Solve for x
    x = 17,422,553.71/4,772.99
  6. Step 6: Final answer
    x = 3,650.24

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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.