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Finding the Fourth Proportional to 3,620.57, 5,430.96 and 1,157.22

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Solution

The fourth proportional to 3,620.57, 5,430.96 and 1,157.22 is: 1,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.57 : 5,430.96 = 1,157.22 : x
  2. Step 2: Convert to fraction form
    3,620.57/5,430.96 = 1,157.22/x
  3. Step 3: Cross multiply
    3,620.57x = 5,430.96 × 1,157.22
  4. Step 4: Simplify right side
    3,620.57x = 6,284,815.53
  5. Step 5: Solve for x
    x = 6,284,815.53/3,620.57
  6. Step 6: Final answer
    x = 1,735.87

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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.