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Finding the Fourth Proportional to 5,203.74, 7,180.95 and 2,965.71

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Solution

The fourth proportional to 5,203.74, 7,180.95 and 2,965.71 is: 4,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.74 : 7,180.95 = 2,965.71 : x
  2. Step 2: Convert to fraction form
    5,203.74/7,180.95 = 2,965.71/x
  3. Step 3: Cross multiply
    5,203.74x = 7,180.95 × 2,965.71
  4. Step 4: Simplify right side
    5,203.74x = 21,296,653.27
  5. Step 5: Solve for x
    x = 21,296,653.27/5,203.74
  6. Step 6: Final answer
    x = 4,092.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.