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Finding the Fourth Proportional to 5,869.41, 8,103.29 and 5,213.31

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Solution

The fourth proportional to 5,869.41, 8,103.29 and 5,213.31 is: 7,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.41 : 8,103.29 = 5,213.31 : x
  2. Step 2: Convert to fraction form
    5,869.41/8,103.29 = 5,213.31/x
  3. Step 3: Cross multiply
    5,869.41x = 8,103.29 × 5,213.31
  4. Step 4: Simplify right side
    5,869.41x = 42,244,936.72
  5. Step 5: Solve for x
    x = 42,244,936.72/5,869.41
  6. Step 6: Final answer
    x = 7,197.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.