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Finding the Fourth Proportional to 5,865.56, 8,094.56 and 3,213.21

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Solution

The fourth proportional to 5,865.56, 8,094.56 and 3,213.21 is: 4,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.56 : 8,094.56 = 3,213.21 : x
  2. Step 2: Convert to fraction form
    5,865.56/8,094.56 = 3,213.21/x
  3. Step 3: Cross multiply
    5,865.56x = 8,094.56 × 3,213.21
  4. Step 4: Simplify right side
    5,865.56x = 26,009,505.07
  5. Step 5: Solve for x
    x = 26,009,505.07/5,865.56
  6. Step 6: Final answer
    x = 4,434.28

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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.