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Finding the Fourth Proportional to 6,052.24, 8,352.12 and 3,400

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Solution

The fourth proportional to 6,052.24, 8,352.12 and 3,400 is: 4,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.24 : 8,352.12 = 3,400 : x
  2. Step 2: Convert to fraction form
    6,052.24/8,352.12 = 3,400/x
  3. Step 3: Cross multiply
    6,052.24x = 8,352.12 × 3,400
  4. Step 4: Simplify right side
    6,052.24x = 28,397,208.00
  5. Step 5: Solve for x
    x = 28,397,208.00/6,052.24
  6. Step 6: Final answer
    x = 4,692.02

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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.