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Finding the Fourth Proportional to 4,755.40, 7,134.72 and 2,564.34

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Solution

The fourth proportional to 4,755.40, 7,134.72 and 2,564.34 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.40 : 7,134.72 = 2,564.34 : x
  2. Step 2: Convert to fraction form
    4,755.40/7,134.72 = 2,564.34/x
  3. Step 3: Cross multiply
    4,755.40x = 7,134.72 × 2,564.34
  4. Step 4: Simplify right side
    4,755.40x = 18,295,847.88
  5. Step 5: Solve for x
    x = 18,295,847.88/4,755.40
  6. Step 6: Final answer
    x = 3,847.38

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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.