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Finding the Fourth Proportional to 5,735.41, 8,596.19 and 2,960.57

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Solution

The fourth proportional to 5,735.41, 8,596.19 and 2,960.57 is: 4,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.41 : 8,596.19 = 2,960.57 : x
  2. Step 2: Convert to fraction form
    5,735.41/8,596.19 = 2,960.57/x
  3. Step 3: Cross multiply
    5,735.41x = 8,596.19 × 2,960.57
  4. Step 4: Simplify right side
    5,735.41x = 25,449,590.58
  5. Step 5: Solve for x
    x = 25,449,590.58/5,735.41
  6. Step 6: Final answer
    x = 4,437.28

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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.