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Finding the Fourth Proportional to 3,883.51, 5,825.27 and 3,016

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Solution

The fourth proportional to 3,883.51, 5,825.27 and 3,016 is: 4,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.51 : 5,825.27 = 3,016 : x
  2. Step 2: Convert to fraction form
    3,883.51/5,825.27 = 3,016/x
  3. Step 3: Cross multiply
    3,883.51x = 5,825.27 × 3,016
  4. Step 4: Simplify right side
    3,883.51x = 17,569,014.32
  5. Step 5: Solve for x
    x = 17,569,014.32/3,883.51
  6. Step 6: Final answer
    x = 4,524.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.