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Finding the Fourth Proportional to 3,895.03, 5,842.62 and 1,396.38

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Solution

The fourth proportional to 3,895.03, 5,842.62 and 1,396.38 is: 2,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.03 : 5,842.62 = 1,396.38 : x
  2. Step 2: Convert to fraction form
    3,895.03/5,842.62 = 1,396.38/x
  3. Step 3: Cross multiply
    3,895.03x = 5,842.62 × 1,396.38
  4. Step 4: Simplify right side
    3,895.03x = 8,158,517.72
  5. Step 5: Solve for x
    x = 8,158,517.72/3,895.03
  6. Step 6: Final answer
    x = 2,094.60

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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.