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Finding the Fourth Proportional to 5,297.16, 7,940.04 and 3,449.64

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Solution

The fourth proportional to 5,297.16, 7,940.04 and 3,449.64 is: 5,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.16 : 7,940.04 = 3,449.64 : x
  2. Step 2: Convert to fraction form
    5,297.16/7,940.04 = 3,449.64/x
  3. Step 3: Cross multiply
    5,297.16x = 7,940.04 × 3,449.64
  4. Step 4: Simplify right side
    5,297.16x = 27,390,279.59
  5. Step 5: Solve for x
    x = 27,390,279.59/5,297.16
  6. Step 6: Final answer
    x = 5,170.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.