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Finding the Fourth Proportional to 5,722.36, 8,578.68 and 3,409

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Solution

The fourth proportional to 5,722.36, 8,578.68 and 3,409 is: 5,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.36 : 8,578.68 = 3,409 : x
  2. Step 2: Convert to fraction form
    5,722.36/8,578.68 = 3,409/x
  3. Step 3: Cross multiply
    5,722.36x = 8,578.68 × 3,409
  4. Step 4: Simplify right side
    5,722.36x = 29,244,720.12
  5. Step 5: Solve for x
    x = 29,244,720.12/5,722.36
  6. Step 6: Final answer
    x = 5,110.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.