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Finding the Fourth Proportional to 4,735.78, 6,533.58 and 2,745.64

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Solution

The fourth proportional to 4,735.78, 6,533.58 and 2,745.64 is: 3,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.78 : 6,533.58 = 2,745.64 : x
  2. Step 2: Convert to fraction form
    4,735.78/6,533.58 = 2,745.64/x
  3. Step 3: Cross multiply
    4,735.78x = 6,533.58 × 2,745.64
  4. Step 4: Simplify right side
    4,735.78x = 17,938,858.59
  5. Step 5: Solve for x
    x = 17,938,858.59/4,735.78
  6. Step 6: Final answer
    x = 3,787.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.