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Finding the Fourth Proportional to 3,396.10, 5,094.20 and 931.12

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Solution

The fourth proportional to 3,396.10, 5,094.20 and 931.12 is: 1,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.10 : 5,094.20 = 931.12 : x
  2. Step 2: Convert to fraction form
    3,396.10/5,094.20 = 931.12/x
  3. Step 3: Cross multiply
    3,396.10x = 5,094.20 × 931.12
  4. Step 4: Simplify right side
    3,396.10x = 4,743,311.50
  5. Step 5: Solve for x
    x = 4,743,311.50/3,396.10
  6. Step 6: Final answer
    x = 1,396.69

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Why These Related Problems?

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