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Finding the Fourth Proportional to 5,397.36, 8,094.36 and 3,205.44

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Solution

The fourth proportional to 5,397.36, 8,094.36 and 3,205.44 is: 4,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.36 : 8,094.36 = 3,205.44 : x
  2. Step 2: Convert to fraction form
    5,397.36/8,094.36 = 3,205.44/x
  3. Step 3: Cross multiply
    5,397.36x = 8,094.36 × 3,205.44
  4. Step 4: Simplify right side
    5,397.36x = 25,945,985.32
  5. Step 5: Solve for x
    x = 25,945,985.32/5,397.36
  6. Step 6: Final answer
    x = 4,807.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.