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Finding the Fourth Proportional to 5,961.40, 8,942.10 and 5,140.60

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Solution

The fourth proportional to 5,961.40, 8,942.10 and 5,140.60 is: 7,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.40 : 8,942.10 = 5,140.60 : x
  2. Step 2: Convert to fraction form
    5,961.40/8,942.10 = 5,140.60/x
  3. Step 3: Cross multiply
    5,961.40x = 8,942.10 × 5,140.60
  4. Step 4: Simplify right side
    5,961.40x = 45,967,759.26
  5. Step 5: Solve for x
    x = 45,967,759.26/5,961.40
  6. Step 6: Final answer
    x = 7,710.90

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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.