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Finding the Fourth Proportional to 5,975.40, 8,964.70 and 5,330.60

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Solution

The fourth proportional to 5,975.40, 8,964.70 and 5,330.60 is: 7,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.40 : 8,964.70 = 5,330.60 : x
  2. Step 2: Convert to fraction form
    5,975.40/8,964.70 = 5,330.60/x
  3. Step 3: Cross multiply
    5,975.40x = 8,964.70 × 5,330.60
  4. Step 4: Simplify right side
    5,975.40x = 47,787,229.82
  5. Step 5: Solve for x
    x = 47,787,229.82/5,975.40
  6. Step 6: Final answer
    x = 7,997.33

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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.