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Finding the Fourth Proportional to 4,745.52, 7,114.58 and 2,896.30

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Solution

The fourth proportional to 4,745.52, 7,114.58 and 2,896.30 is: 4,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.52 : 7,114.58 = 2,896.30 : x
  2. Step 2: Convert to fraction form
    4,745.52/7,114.58 = 2,896.30/x
  3. Step 3: Cross multiply
    4,745.52x = 7,114.58 × 2,896.30
  4. Step 4: Simplify right side
    4,745.52x = 20,605,958.05
  5. Step 5: Solve for x
    x = 20,605,958.05/4,745.52
  6. Step 6: Final answer
    x = 4,342.19

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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.