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Finding the Fourth Proportional to 5,301.72, 7,951.77 and 1,406.43

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Solution

The fourth proportional to 5,301.72, 7,951.77 and 1,406.43 is: 2,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.72 : 7,951.77 = 1,406.43 : x
  2. Step 2: Convert to fraction form
    5,301.72/7,951.77 = 1,406.43/x
  3. Step 3: Cross multiply
    5,301.72x = 7,951.77 × 1,406.43
  4. Step 4: Simplify right side
    5,301.72x = 11,183,607.88
  5. Step 5: Solve for x
    x = 11,183,607.88/5,301.72
  6. Step 6: Final answer
    x = 2,109.43

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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.