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Finding the Fourth Proportional to 4,773.36, 7,159.26 and 1,309.80

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Solution

The fourth proportional to 4,773.36, 7,159.26 and 1,309.80 is: 1,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.36 : 7,159.26 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    4,773.36/7,159.26 = 1,309.80/x
  3. Step 3: Cross multiply
    4,773.36x = 7,159.26 × 1,309.80
  4. Step 4: Simplify right side
    4,773.36x = 9,377,198.75
  5. Step 5: Solve for x
    x = 9,377,198.75/4,773.36
  6. Step 6: Final answer
    x = 1,964.49

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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.