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Finding the Fourth Proportional to 5,202.96, 7,180.16 and 2,845.10

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Solution

The fourth proportional to 5,202.96, 7,180.16 and 2,845.10 is: 3,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.96 : 7,180.16 = 2,845.10 : x
  2. Step 2: Convert to fraction form
    5,202.96/7,180.16 = 2,845.10/x
  3. Step 3: Cross multiply
    5,202.96x = 7,180.16 × 2,845.10
  4. Step 4: Simplify right side
    5,202.96x = 20,428,223.09
  5. Step 5: Solve for x
    x = 20,428,223.09/5,202.96
  6. Step 6: Final answer
    x = 3,926.27

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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.