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Finding the Fourth Proportional to 5,297.46, 7,930.38 and 3,211.16

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Solution

The fourth proportional to 5,297.46, 7,930.38 and 3,211.16 is: 4,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.46 : 7,930.38 = 3,211.16 : x
  2. Step 2: Convert to fraction form
    5,297.46/7,930.38 = 3,211.16/x
  3. Step 3: Cross multiply
    5,297.46x = 7,930.38 × 3,211.16
  4. Step 4: Simplify right side
    5,297.46x = 25,465,719.04
  5. Step 5: Solve for x
    x = 25,465,719.04/5,297.46
  6. Step 6: Final answer
    x = 4,807.16

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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.