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Finding the Fourth Proportional to 5,297.64, 7,310.78 and 3,059.54

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Solution

The fourth proportional to 5,297.64, 7,310.78 and 3,059.54 is: 4,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.64 : 7,310.78 = 3,059.54 : x
  2. Step 2: Convert to fraction form
    5,297.64/7,310.78 = 3,059.54/x
  3. Step 3: Cross multiply
    5,297.64x = 7,310.78 × 3,059.54
  4. Step 4: Simplify right side
    5,297.64x = 22,367,623.84
  5. Step 5: Solve for x
    x = 22,367,623.84/5,297.64
  6. Step 6: Final answer
    x = 4,222.19

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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.