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Finding the Fourth Proportional to 5,961, 8,226.54 and 3,477

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Solution

The fourth proportional to 5,961, 8,226.54 and 3,477 is: 4,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961 : 8,226.54 = 3,477 : x
  2. Step 2: Convert to fraction form
    5,961/8,226.54 = 3,477/x
  3. Step 3: Cross multiply
    5,961x = 8,226.54 × 3,477
  4. Step 4: Simplify right side
    5,961x = 28,603,679.58
  5. Step 5: Solve for x
    x = 28,603,679.58/5,961
  6. Step 6: Final answer
    x = 4,798.47

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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.