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Finding the Fourth Proportional to 5,125.86, 7,676.47 and 3,477.41

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Solution

The fourth proportional to 5,125.86, 7,676.47 and 3,477.41 is: 5,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.86 : 7,676.47 = 3,477.41 : x
  2. Step 2: Convert to fraction form
    5,125.86/7,676.47 = 3,477.41/x
  3. Step 3: Cross multiply
    5,125.86x = 7,676.47 × 3,477.41
  4. Step 4: Simplify right side
    5,125.86x = 26,694,233.54
  5. Step 5: Solve for x
    x = 26,694,233.54/5,125.86
  6. Step 6: Final answer
    x = 5,207.76

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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.