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Finding the Fourth Proportional to 5,892.63, 8,842.39 and 2,197.41

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Solution

The fourth proportional to 5,892.63, 8,842.39 and 2,197.41 is: 3,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.63 : 8,842.39 = 2,197.41 : x
  2. Step 2: Convert to fraction form
    5,892.63/8,842.39 = 2,197.41/x
  3. Step 3: Cross multiply
    5,892.63x = 8,842.39 × 2,197.41
  4. Step 4: Simplify right side
    5,892.63x = 19,430,356.21
  5. Step 5: Solve for x
    x = 19,430,356.21/5,892.63
  6. Step 6: Final answer
    x = 3,297.40

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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.