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Finding the Fourth Proportional to 5,993.80, 8,271.80 and 3,341.20

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Solution

The fourth proportional to 5,993.80, 8,271.80 and 3,341.20 is: 4,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.80 : 8,271.80 = 3,341.20 : x
  2. Step 2: Convert to fraction form
    5,993.80/8,271.80 = 3,341.20/x
  3. Step 3: Cross multiply
    5,993.80x = 8,271.80 × 3,341.20
  4. Step 4: Simplify right side
    5,993.80x = 27,637,758.84
  5. Step 5: Solve for x
    x = 27,637,758.84/5,993.80
  6. Step 6: Final answer
    x = 4,611.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.