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Finding the Fourth Proportional to 4,735.68, 6,534.72 and 2,745.90

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Solution

The fourth proportional to 4,735.68, 6,534.72 and 2,745.90 is: 3,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.68 : 6,534.72 = 2,745.90 : x
  2. Step 2: Convert to fraction form
    4,735.68/6,534.72 = 2,745.90/x
  3. Step 3: Cross multiply
    4,735.68x = 6,534.72 × 2,745.90
  4. Step 4: Simplify right side
    4,735.68x = 17,943,687.65
  5. Step 5: Solve for x
    x = 17,943,687.65/4,735.68
  6. Step 6: Final answer
    x = 3,789.04

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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.