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Finding the Fourth Proportional to 3,578.37, 5,363.62 and 2,698.05

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Solution

The fourth proportional to 3,578.37, 5,363.62 and 2,698.05 is: 4,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.37 : 5,363.62 = 2,698.05 : x
  2. Step 2: Convert to fraction form
    3,578.37/5,363.62 = 2,698.05/x
  3. Step 3: Cross multiply
    3,578.37x = 5,363.62 × 2,698.05
  4. Step 4: Simplify right side
    3,578.37x = 14,471,313.93
  5. Step 5: Solve for x
    x = 14,471,313.93/3,578.37
  6. Step 6: Final answer
    x = 4,044.11

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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.