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Finding the Fourth Proportional to 4,844.86, 7,265.70 and 2,993.20

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Solution

The fourth proportional to 4,844.86, 7,265.70 and 2,993.20 is: 4,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.86 : 7,265.70 = 2,993.20 : x
  2. Step 2: Convert to fraction form
    4,844.86/7,265.70 = 2,993.20/x
  3. Step 3: Cross multiply
    4,844.86x = 7,265.70 × 2,993.20
  4. Step 4: Simplify right side
    4,844.86x = 21,747,693.24
  5. Step 5: Solve for x
    x = 21,747,693.24/4,844.86
  6. Step 6: Final answer
    x = 4,488.82

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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.