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Finding the Fourth Proportional to 4,756.22, 7,135.41 and 2,564.90

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Solution

The fourth proportional to 4,756.22, 7,135.41 and 2,564.90 is: 3,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.22 : 7,135.41 = 2,564.90 : x
  2. Step 2: Convert to fraction form
    4,756.22/7,135.41 = 2,564.90/x
  3. Step 3: Cross multiply
    4,756.22x = 7,135.41 × 2,564.90
  4. Step 4: Simplify right side
    4,756.22x = 18,301,640.57
  5. Step 5: Solve for x
    x = 18,301,640.57/4,756.22
  6. Step 6: Final answer
    x = 3,847.94

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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.