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Finding the Fourth Proportional to 3,563.74, 4,917.81 and 2,071.54

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Solution

The fourth proportional to 3,563.74, 4,917.81 and 2,071.54 is: 2,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.74 : 4,917.81 = 2,071.54 : x
  2. Step 2: Convert to fraction form
    3,563.74/4,917.81 = 2,071.54/x
  3. Step 3: Cross multiply
    3,563.74x = 4,917.81 × 2,071.54
  4. Step 4: Simplify right side
    3,563.74x = 10,187,440.13
  5. Step 5: Solve for x
    x = 10,187,440.13/3,563.74
  6. Step 6: Final answer
    x = 2,858.64

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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.