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Finding the Fourth Proportional to 5,189.44, 7,160.16 and 3,328.96

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Solution

The fourth proportional to 5,189.44, 7,160.16 and 3,328.96 is: 4,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.44 : 7,160.16 = 3,328.96 : x
  2. Step 2: Convert to fraction form
    5,189.44/7,160.16 = 3,328.96/x
  3. Step 3: Cross multiply
    5,189.44x = 7,160.16 × 3,328.96
  4. Step 4: Simplify right side
    5,189.44x = 23,835,886.23
  5. Step 5: Solve for x
    x = 23,835,886.23/5,189.44
  6. Step 6: Final answer
    x = 4,593.15

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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.