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Finding the Fourth Proportional to 5,994.64, 8,272 and 3,341.80

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Solution

The fourth proportional to 5,994.64, 8,272 and 3,341.80 is: 4,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.64 : 8,272 = 3,341.80 : x
  2. Step 2: Convert to fraction form
    5,994.64/8,272 = 3,341.80/x
  3. Step 3: Cross multiply
    5,994.64x = 8,272 × 3,341.80
  4. Step 4: Simplify right side
    5,994.64x = 27,643,369.60
  5. Step 5: Solve for x
    x = 27,643,369.60/5,994.64
  6. Step 6: Final answer
    x = 4,611.35

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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.