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Finding the Fourth Proportional to 3,333.16, 5,000.46 and 2,102.20

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Solution

The fourth proportional to 3,333.16, 5,000.46 and 2,102.20 is: 3,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.16 : 5,000.46 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    3,333.16/5,000.46 = 2,102.20/x
  3. Step 3: Cross multiply
    3,333.16x = 5,000.46 × 2,102.20
  4. Step 4: Simplify right side
    3,333.16x = 10,511,967.01
  5. Step 5: Solve for x
    x = 10,511,967.01/3,333.16
  6. Step 6: Final answer
    x = 3,153.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.