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Finding the Fourth Proportional to 4,012, 6,015.80 and 2,256.28

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Solution

The fourth proportional to 4,012, 6,015.80 and 2,256.28 is: 3,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012 : 6,015.80 = 2,256.28 : x
  2. Step 2: Convert to fraction form
    4,012/6,015.80 = 2,256.28/x
  3. Step 3: Cross multiply
    4,012x = 6,015.80 × 2,256.28
  4. Step 4: Simplify right side
    4,012x = 13,573,329.22
  5. Step 5: Solve for x
    x = 13,573,329.22/4,012
  6. Step 6: Final answer
    x = 3,383.18

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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.