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Finding the Fourth Proportional to 4,101.50, 5,660.31 and 2,333.18

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Solution

The fourth proportional to 4,101.50, 5,660.31 and 2,333.18 is: 3,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.50 : 5,660.31 = 2,333.18 : x
  2. Step 2: Convert to fraction form
    4,101.50/5,660.31 = 2,333.18/x
  3. Step 3: Cross multiply
    4,101.50x = 5,660.31 × 2,333.18
  4. Step 4: Simplify right side
    4,101.50x = 13,206,522.09
  5. Step 5: Solve for x
    x = 13,206,522.09/4,101.50
  6. Step 6: Final answer
    x = 3,219.92

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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.