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Finding the Fourth Proportional to 5,203.59, 7,180.46 and 2,965.41

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Solution

The fourth proportional to 5,203.59, 7,180.46 and 2,965.41 is: 4,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.59 : 7,180.46 = 2,965.41 : x
  2. Step 2: Convert to fraction form
    5,203.59/7,180.46 = 2,965.41/x
  3. Step 3: Cross multiply
    5,203.59x = 7,180.46 × 2,965.41
  4. Step 4: Simplify right side
    5,203.59x = 21,293,007.89
  5. Step 5: Solve for x
    x = 21,293,007.89/5,203.59
  6. Step 6: Final answer
    x = 4,091.98

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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.