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Finding the Fourth Proportional to 4,016, 6,021.80 and 2,260.28

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Solution

The fourth proportional to 4,016, 6,021.80 and 2,260.28 is: 3,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 6,021.80 = 2,260.28 : x
  2. Step 2: Convert to fraction form
    4,016/6,021.80 = 2,260.28/x
  3. Step 3: Cross multiply
    4,016x = 6,021.80 × 2,260.28
  4. Step 4: Simplify right side
    4,016x = 13,610,954.10
  5. Step 5: Solve for x
    x = 13,610,954.10/4,016
  6. Step 6: Final answer
    x = 3,389.18

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