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Finding the Fourth Proportional to 5,813.36, 8,024.54 and 3,578.22

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Solution

The fourth proportional to 5,813.36, 8,024.54 and 3,578.22 is: 4,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.36 : 8,024.54 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    5,813.36/8,024.54 = 3,578.22/x
  3. Step 3: Cross multiply
    5,813.36x = 8,024.54 × 3,578.22
  4. Step 4: Simplify right side
    5,813.36x = 28,713,551.63
  5. Step 5: Solve for x
    x = 28,713,551.63/5,813.36
  6. Step 6: Final answer
    x = 4,939.24

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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.