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Finding the Fourth Proportional to 4,102.67, 5,661.05 and 2,334.03

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Solution

The fourth proportional to 4,102.67, 5,661.05 and 2,334.03 is: 3,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.67 : 5,661.05 = 2,334.03 : x
  2. Step 2: Convert to fraction form
    4,102.67/5,661.05 = 2,334.03/x
  3. Step 3: Cross multiply
    4,102.67x = 5,661.05 × 2,334.03
  4. Step 4: Simplify right side
    4,102.67x = 13,213,048.86
  5. Step 5: Solve for x
    x = 13,213,048.86/4,102.67
  6. Step 6: Final answer
    x = 3,220.60

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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.