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Finding the Fourth Proportional to 5,203.30, 7,180.54 and 2,965.18

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Solution

The fourth proportional to 5,203.30, 7,180.54 and 2,965.18 is: 4,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.30 : 7,180.54 = 2,965.18 : x
  2. Step 2: Convert to fraction form
    5,203.30/7,180.54 = 2,965.18/x
  3. Step 3: Cross multiply
    5,203.30x = 7,180.54 × 2,965.18
  4. Step 4: Simplify right side
    5,203.30x = 21,291,593.60
  5. Step 5: Solve for x
    x = 21,291,593.60/5,203.30
  6. Step 6: Final answer
    x = 4,091.94

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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.