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Finding the Fourth Proportional to 5,735.94, 8,596.62 and 3,140.70

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Solution

The fourth proportional to 5,735.94, 8,596.62 and 3,140.70 is: 4,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.94 : 8,596.62 = 3,140.70 : x
  2. Step 2: Convert to fraction form
    5,735.94/8,596.62 = 3,140.70/x
  3. Step 3: Cross multiply
    5,735.94x = 8,596.62 × 3,140.70
  4. Step 4: Simplify right side
    5,735.94x = 26,999,404.43
  5. Step 5: Solve for x
    x = 26,999,404.43/5,735.94
  6. Step 6: Final answer
    x = 4,707.06

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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.