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Finding the Fourth Proportional to 3,578.07, 5,363.75 and 1,496.77

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Solution

The fourth proportional to 3,578.07, 5,363.75 and 1,496.77 is: 2,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.07 : 5,363.75 = 1,496.77 : x
  2. Step 2: Convert to fraction form
    3,578.07/5,363.75 = 1,496.77/x
  3. Step 3: Cross multiply
    3,578.07x = 5,363.75 × 1,496.77
  4. Step 4: Simplify right side
    3,578.07x = 8,028,300.09
  5. Step 5: Solve for x
    x = 8,028,300.09/3,578.07
  6. Step 6: Final answer
    x = 2,243.75

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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.