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Finding the Fourth Proportional to 5,835.75, 8,053 and 3,183

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Solution

The fourth proportional to 5,835.75, 8,053 and 3,183 is: 4,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.75 : 8,053 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,835.75/8,053 = 3,183/x
  3. Step 3: Cross multiply
    5,835.75x = 8,053 × 3,183
  4. Step 4: Simplify right side
    5,835.75x = 25,632,699
  5. Step 5: Solve for x
    x = 25,632,699/5,835.75
  6. Step 6: Final answer
    x = 4,392.36

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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.