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Finding the Fourth Proportional to 3,301.67, 4,971.94 and 2,383.67

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Solution

The fourth proportional to 3,301.67, 4,971.94 and 2,383.67 is: 3,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.67 : 4,971.94 = 2,383.67 : x
  2. Step 2: Convert to fraction form
    3,301.67/4,971.94 = 2,383.67/x
  3. Step 3: Cross multiply
    3,301.67x = 4,971.94 × 2,383.67
  4. Step 4: Simplify right side
    3,301.67x = 11,851,442.34
  5. Step 5: Solve for x
    x = 11,851,442.34/3,301.67
  6. Step 6: Final answer
    x = 3,589.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.