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Finding the Fourth Proportional to 5,202.54, 7,180.29 and 3,314.94

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Solution

The fourth proportional to 5,202.54, 7,180.29 and 3,314.94 is: 4,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.54 : 7,180.29 = 3,314.94 : x
  2. Step 2: Convert to fraction form
    5,202.54/7,180.29 = 3,314.94/x
  3. Step 3: Cross multiply
    5,202.54x = 7,180.29 × 3,314.94
  4. Step 4: Simplify right side
    5,202.54x = 23,802,230.53
  5. Step 5: Solve for x
    x = 23,802,230.53/5,202.54
  6. Step 6: Final answer
    x = 4,575.12

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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.