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Finding the Fourth Proportional to 6,575.50, 9,074.46 and 3,781

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Solution

The fourth proportional to 6,575.50, 9,074.46 and 3,781 is: 5,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.50 : 9,074.46 = 3,781 : x
  2. Step 2: Convert to fraction form
    6,575.50/9,074.46 = 3,781/x
  3. Step 3: Cross multiply
    6,575.50x = 9,074.46 × 3,781
  4. Step 4: Simplify right side
    6,575.50x = 34,310,533.26
  5. Step 5: Solve for x
    x = 34,310,533.26/6,575.50
  6. Step 6: Final answer
    x = 5,217.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.