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Finding the Fourth Proportional to 5,633.24, 7,774.17 and 3,243.57

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Solution

The fourth proportional to 5,633.24, 7,774.17 and 3,243.57 is: 4,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.24 : 7,774.17 = 3,243.57 : x
  2. Step 2: Convert to fraction form
    5,633.24/7,774.17 = 3,243.57/x
  3. Step 3: Cross multiply
    5,633.24x = 7,774.17 × 3,243.57
  4. Step 4: Simplify right side
    5,633.24x = 25,216,048.37
  5. Step 5: Solve for x
    x = 25,216,048.37/5,633.24
  6. Step 6: Final answer
    x = 4,476.30

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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.