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Finding the Fourth Proportional to 5,622.12, 7,758 and 3,264.39

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Solution

The fourth proportional to 5,622.12, 7,758 and 3,264.39 is: 4,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.12 : 7,758 = 3,264.39 : x
  2. Step 2: Convert to fraction form
    5,622.12/7,758 = 3,264.39/x
  3. Step 3: Cross multiply
    5,622.12x = 7,758 × 3,264.39
  4. Step 4: Simplify right side
    5,622.12x = 25,325,137.62
  5. Step 5: Solve for x
    x = 25,325,137.62/5,622.12
  6. Step 6: Final answer
    x = 4,504.55

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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.