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Finding the Fourth Proportional to 5,647.36, 8,466.51 and 2,834.35

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Solution

The fourth proportional to 5,647.36, 8,466.51 and 2,834.35 is: 4,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.36 : 8,466.51 = 2,834.35 : x
  2. Step 2: Convert to fraction form
    5,647.36/8,466.51 = 2,834.35/x
  3. Step 3: Cross multiply
    5,647.36x = 8,466.51 × 2,834.35
  4. Step 4: Simplify right side
    5,647.36x = 23,997,052.62
  5. Step 5: Solve for x
    x = 23,997,052.62/5,647.36
  6. Step 6: Final answer
    x = 4,249.25

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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.