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Finding the Fourth Proportional to 5,203.56, 7,180.29 and 2,965.44

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Solution

The fourth proportional to 5,203.56, 7,180.29 and 2,965.44 is: 4,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.56 : 7,180.29 = 2,965.44 : x
  2. Step 2: Convert to fraction form
    5,203.56/7,180.29 = 2,965.44/x
  3. Step 3: Cross multiply
    5,203.56x = 7,180.29 × 2,965.44
  4. Step 4: Simplify right side
    5,203.56x = 21,292,719.18
  5. Step 5: Solve for x
    x = 21,292,719.18/5,203.56
  6. Step 6: Final answer
    x = 4,091.95

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