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Finding the Fourth Proportional to 5,297.53, 7,310.40 and 3,409.19

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Solution

The fourth proportional to 5,297.53, 7,310.40 and 3,409.19 is: 4,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.53 : 7,310.40 = 3,409.19 : x
  2. Step 2: Convert to fraction form
    5,297.53/7,310.40 = 3,409.19/x
  3. Step 3: Cross multiply
    5,297.53x = 7,310.40 × 3,409.19
  4. Step 4: Simplify right side
    5,297.53x = 24,922,542.58
  5. Step 5: Solve for x
    x = 24,922,542.58/5,297.53
  6. Step 6: Final answer
    x = 4,704.56

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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.