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Finding the Fourth Proportional to 5,041.78, 7,564.20 and 2,578.33

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Solution

The fourth proportional to 5,041.78, 7,564.20 and 2,578.33 is: 3,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.78 : 7,564.20 = 2,578.33 : x
  2. Step 2: Convert to fraction form
    5,041.78/7,564.20 = 2,578.33/x
  3. Step 3: Cross multiply
    5,041.78x = 7,564.20 × 2,578.33
  4. Step 4: Simplify right side
    5,041.78x = 19,503,003.79
  5. Step 5: Solve for x
    x = 19,503,003.79/5,041.78
  6. Step 6: Final answer
    x = 3,868.28

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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.