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Finding the Fourth Proportional to 5,567, 7,682.70 and 3,083

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Solution

The fourth proportional to 5,567, 7,682.70 and 3,083 is: 4,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567 : 7,682.70 = 3,083 : x
  2. Step 2: Convert to fraction form
    5,567/7,682.70 = 3,083/x
  3. Step 3: Cross multiply
    5,567x = 7,682.70 × 3,083
  4. Step 4: Simplify right side
    5,567x = 23,685,764.10
  5. Step 5: Solve for x
    x = 23,685,764.10/5,567
  6. Step 6: Final answer
    x = 4,254.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.