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Finding the Fourth Proportional to 5,736.96, 7,865.44 and 5,633.28

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Solution

The fourth proportional to 5,736.96, 7,865.44 and 5,633.28 is: 7,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.96 : 7,865.44 = 5,633.28 : x
  2. Step 2: Convert to fraction form
    5,736.96/7,865.44 = 5,633.28/x
  3. Step 3: Cross multiply
    5,736.96x = 7,865.44 × 5,633.28
  4. Step 4: Simplify right side
    5,736.96x = 44,308,225.84
  5. Step 5: Solve for x
    x = 44,308,225.84/5,736.96
  6. Step 6: Final answer
    x = 7,723.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.