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Finding the Fourth Proportional to 3,578.33, 5,364.29 and 1,822.35

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Solution

The fourth proportional to 3,578.33, 5,364.29 and 1,822.35 is: 2,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.33 : 5,364.29 = 1,822.35 : x
  2. Step 2: Convert to fraction form
    3,578.33/5,364.29 = 1,822.35/x
  3. Step 3: Cross multiply
    3,578.33x = 5,364.29 × 1,822.35
  4. Step 4: Simplify right side
    3,578.33x = 9,775,618.44
  5. Step 5: Solve for x
    x = 9,775,618.44/3,578.33
  6. Step 6: Final answer
    x = 2,731.90

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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.