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Finding the Fourth Proportional to 3,397.42, 5,096.94 and 1,205.98

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Solution

The fourth proportional to 3,397.42, 5,096.94 and 1,205.98 is: 1,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.42 : 5,096.94 = 1,205.98 : x
  2. Step 2: Convert to fraction form
    3,397.42/5,096.94 = 1,205.98/x
  3. Step 3: Cross multiply
    3,397.42x = 5,096.94 × 1,205.98
  4. Step 4: Simplify right side
    3,397.42x = 6,146,807.70
  5. Step 5: Solve for x
    x = 6,146,807.70/3,397.42
  6. Step 6: Final answer
    x = 1,809.26

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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.