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Finding the Fourth Proportional to 5,977, 8,248.26 and 3,493

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Solution

The fourth proportional to 5,977, 8,248.26 and 3,493 is: 4,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977 : 8,248.26 = 3,493 : x
  2. Step 2: Convert to fraction form
    5,977/8,248.26 = 3,493/x
  3. Step 3: Cross multiply
    5,977x = 8,248.26 × 3,493
  4. Step 4: Simplify right side
    5,977x = 28,811,172.18
  5. Step 5: Solve for x
    x = 28,811,172.18/5,977
  6. Step 6: Final answer
    x = 4,820.34

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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.