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Finding the Fourth Proportional to 3,778.53, 5,665.71 and 2,025.60

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Solution

The fourth proportional to 3,778.53, 5,665.71 and 2,025.60 is: 3,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.53 : 5,665.71 = 2,025.60 : x
  2. Step 2: Convert to fraction form
    3,778.53/5,665.71 = 2,025.60/x
  3. Step 3: Cross multiply
    3,778.53x = 5,665.71 × 2,025.60
  4. Step 4: Simplify right side
    3,778.53x = 11,476,462.18
  5. Step 5: Solve for x
    x = 11,476,462.18/3,778.53
  6. Step 6: Final answer
    x = 3,037.28

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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.