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Finding the Fourth Proportional to 3,503.34, 4,832.33 and 2,106.09

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Solution

The fourth proportional to 3,503.34, 4,832.33 and 2,106.09 is: 2,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.34 : 4,832.33 = 2,106.09 : x
  2. Step 2: Convert to fraction form
    3,503.34/4,832.33 = 2,106.09/x
  3. Step 3: Cross multiply
    3,503.34x = 4,832.33 × 2,106.09
  4. Step 4: Simplify right side
    3,503.34x = 10,177,311.36
  5. Step 5: Solve for x
    x = 10,177,311.36/3,503.34
  6. Step 6: Final answer
    x = 2,905.03

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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.