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Finding the Fourth Proportional to 5,534.70, 8,297.19 and 3,069.06

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Solution

The fourth proportional to 5,534.70, 8,297.19 and 3,069.06 is: 4,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.70 : 8,297.19 = 3,069.06 : x
  2. Step 2: Convert to fraction form
    5,534.70/8,297.19 = 3,069.06/x
  3. Step 3: Cross multiply
    5,534.70x = 8,297.19 × 3,069.06
  4. Step 4: Simplify right side
    5,534.70x = 25,464,573.94
  5. Step 5: Solve for x
    x = 25,464,573.94/5,534.70
  6. Step 6: Final answer
    x = 4,600.90

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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.