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Finding the Fourth Proportional to 3,880.56, 5,820.84 and 3,540.36

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Solution

The fourth proportional to 3,880.56, 5,820.84 and 3,540.36 is: 5,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.56 : 5,820.84 = 3,540.36 : x
  2. Step 2: Convert to fraction form
    3,880.56/5,820.84 = 3,540.36/x
  3. Step 3: Cross multiply
    3,880.56x = 5,820.84 × 3,540.36
  4. Step 4: Simplify right side
    3,880.56x = 20,607,869.10
  5. Step 5: Solve for x
    x = 20,607,869.10/3,880.56
  6. Step 6: Final answer
    x = 5,310.54

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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.