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Finding the Fourth Proportional to 5,579.70, 8,369.34 and 1,684

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Solution

The fourth proportional to 5,579.70, 8,369.34 and 1,684 is: 2,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.70 : 8,369.34 = 1,684 : x
  2. Step 2: Convert to fraction form
    5,579.70/8,369.34 = 1,684/x
  3. Step 3: Cross multiply
    5,579.70x = 8,369.34 × 1,684
  4. Step 4: Simplify right side
    5,579.70x = 14,093,968.56
  5. Step 5: Solve for x
    x = 14,093,968.56/5,579.70
  6. Step 6: Final answer
    x = 2,525.94

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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.