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Finding the Fourth Proportional to 5,252.85, 7,874.21 and 3,398.36

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Solution

The fourth proportional to 5,252.85, 7,874.21 and 3,398.36 is: 5,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.85 : 7,874.21 = 3,398.36 : x
  2. Step 2: Convert to fraction form
    5,252.85/7,874.21 = 3,398.36/x
  3. Step 3: Cross multiply
    5,252.85x = 7,874.21 × 3,398.36
  4. Step 4: Simplify right side
    5,252.85x = 26,759,369.42
  5. Step 5: Solve for x
    x = 26,759,369.42/5,252.85
  6. Step 6: Final answer
    x = 5,094.26

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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.