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Finding the Fourth Proportional to 5,954.48, 8,215.80 and 4,094

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Solution

The fourth proportional to 5,954.48, 8,215.80 and 4,094 is: 5,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.48 : 8,215.80 = 4,094 : x
  2. Step 2: Convert to fraction form
    5,954.48/8,215.80 = 4,094/x
  3. Step 3: Cross multiply
    5,954.48x = 8,215.80 × 4,094
  4. Step 4: Simplify right side
    5,954.48x = 33,635,485.20
  5. Step 5: Solve for x
    x = 33,635,485.20/5,954.48
  6. Step 6: Final answer
    x = 5,648.77

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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.