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Finding the Fourth Proportional to 3,885.30, 5,622.75 and 3,885.30

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Solution

The fourth proportional to 3,885.30, 5,622.75 and 3,885.30 is: 5,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.30 : 5,622.75 = 3,885.30 : x
  2. Step 2: Convert to fraction form
    3,885.30/5,622.75 = 3,885.30/x
  3. Step 3: Cross multiply
    3,885.30x = 5,622.75 × 3,885.30
  4. Step 4: Simplify right side
    3,885.30x = 21,846,070.58
  5. Step 5: Solve for x
    x = 21,846,070.58/3,885.30
  6. Step 6: Final answer
    x = 5,622.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.