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Finding the Fourth Proportional to 4,735.52, 6,533.70 and 2,745.68

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Solution

The fourth proportional to 4,735.52, 6,533.70 and 2,745.68 is: 3,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.52 : 6,533.70 = 2,745.68 : x
  2. Step 2: Convert to fraction form
    4,735.52/6,533.70 = 2,745.68/x
  3. Step 3: Cross multiply
    4,735.52x = 6,533.70 × 2,745.68
  4. Step 4: Simplify right side
    4,735.52x = 17,939,449.42
  5. Step 5: Solve for x
    x = 17,939,449.42/4,735.52
  6. Step 6: Final answer
    x = 3,788.27

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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.