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Finding the Fourth Proportional to 3,396.42, 5,094.72 and 931.50

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Solution

The fourth proportional to 3,396.42, 5,094.72 and 931.50 is: 1,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.42 : 5,094.72 = 931.50 : x
  2. Step 2: Convert to fraction form
    3,396.42/5,094.72 = 931.50/x
  3. Step 3: Cross multiply
    3,396.42x = 5,094.72 × 931.50
  4. Step 4: Simplify right side
    3,396.42x = 4,745,731.68
  5. Step 5: Solve for x
    x = 4,745,731.68/3,396.42
  6. Step 6: Final answer
    x = 1,397.27

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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.