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Finding the Fourth Proportional to 5,367.52, 7,409.71 and 3,577.96

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Solution

The fourth proportional to 5,367.52, 7,409.71 and 3,577.96 is: 4,939.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.52 : 7,409.71 = 3,577.96 : x
  2. Step 2: Convert to fraction form
    5,367.52/7,409.71 = 3,577.96/x
  3. Step 3: Cross multiply
    5,367.52x = 7,409.71 × 3,577.96
  4. Step 4: Simplify right side
    5,367.52x = 26,511,645.99
  5. Step 5: Solve for x
    x = 26,511,645.99/5,367.52
  6. Step 6: Final answer
    x = 4,939.27

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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.