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Finding the Fourth Proportional to 4,102.27, 5,661.06 and 2,400.94

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Solution

The fourth proportional to 4,102.27, 5,661.06 and 2,400.94 is: 3,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.27 : 5,661.06 = 2,400.94 : x
  2. Step 2: Convert to fraction form
    4,102.27/5,661.06 = 2,400.94/x
  3. Step 3: Cross multiply
    4,102.27x = 5,661.06 × 2,400.94
  4. Step 4: Simplify right side
    4,102.27x = 13,591,865.40
  5. Step 5: Solve for x
    x = 13,591,865.40/4,102.27
  6. Step 6: Final answer
    x = 3,313.25

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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.