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Finding the Fourth Proportional to 5,622.92, 7,758 and 3,634.64

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Solution

The fourth proportional to 5,622.92, 7,758 and 3,634.64 is: 5,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.92 : 7,758 = 3,634.64 : x
  2. Step 2: Convert to fraction form
    5,622.92/7,758 = 3,634.64/x
  3. Step 3: Cross multiply
    5,622.92x = 7,758 × 3,634.64
  4. Step 4: Simplify right side
    5,622.92x = 28,197,537.12
  5. Step 5: Solve for x
    x = 28,197,537.12/5,622.92
  6. Step 6: Final answer
    x = 5,014.75

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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.