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Finding the Fourth Proportional to 6,704.19, 9,251.78 and 3,720.50

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Solution

The fourth proportional to 6,704.19, 9,251.78 and 3,720.50 is: 5,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.19 : 9,251.78 = 3,720.50 : x
  2. Step 2: Convert to fraction form
    6,704.19/9,251.78 = 3,720.50/x
  3. Step 3: Cross multiply
    6,704.19x = 9,251.78 × 3,720.50
  4. Step 4: Simplify right side
    6,704.19x = 34,421,265.97
  5. Step 5: Solve for x
    x = 34,421,265.97/6,704.19
  6. Step 6: Final answer
    x = 5,134.29

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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.