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Finding the Fourth Proportional to 3,533.56, 4,876.42 and 2,041.44

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Solution

The fourth proportional to 3,533.56, 4,876.42 and 2,041.44 is: 2,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.56 : 4,876.42 = 2,041.44 : x
  2. Step 2: Convert to fraction form
    3,533.56/4,876.42 = 2,041.44/x
  3. Step 3: Cross multiply
    3,533.56x = 4,876.42 × 2,041.44
  4. Step 4: Simplify right side
    3,533.56x = 9,954,918.84
  5. Step 5: Solve for x
    x = 9,954,918.84/3,533.56
  6. Step 6: Final answer
    x = 2,817.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.