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Finding the Fourth Proportional to 5,994.30, 8,271.54 and 3,341.82

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Solution

The fourth proportional to 5,994.30, 8,271.54 and 3,341.82 is: 4,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.30 : 8,271.54 = 3,341.82 : x
  2. Step 2: Convert to fraction form
    5,994.30/8,271.54 = 3,341.82/x
  3. Step 3: Cross multiply
    5,994.30x = 8,271.54 × 3,341.82
  4. Step 4: Simplify right side
    5,994.30x = 27,641,997.80
  5. Step 5: Solve for x
    x = 27,641,997.80/5,994.30
  6. Step 6: Final answer
    x = 4,611.38

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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.