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Finding the Fourth Proportional to 3,396.36, 5,094.52 and 931.44

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Solution

The fourth proportional to 3,396.36, 5,094.52 and 931.44 is: 1,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.36 : 5,094.52 = 931.44 : x
  2. Step 2: Convert to fraction form
    3,396.36/5,094.52 = 931.44/x
  3. Step 3: Cross multiply
    3,396.36x = 5,094.52 × 931.44
  4. Step 4: Simplify right side
    3,396.36x = 4,745,239.71
  5. Step 5: Solve for x
    x = 4,745,239.71/3,396.36
  6. Step 6: Final answer
    x = 1,397.15

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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.