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Finding the Fourth Proportional to 3,337.33, 5,002.89 and 2,101

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Solution

The fourth proportional to 3,337.33, 5,002.89 and 2,101 is: 3,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.33 : 5,002.89 = 2,101 : x
  2. Step 2: Convert to fraction form
    3,337.33/5,002.89 = 2,101/x
  3. Step 3: Cross multiply
    3,337.33x = 5,002.89 × 2,101
  4. Step 4: Simplify right side
    3,337.33x = 10,511,071.89
  5. Step 5: Solve for x
    x = 10,511,071.89/3,337.33
  6. Step 6: Final answer
    x = 3,149.55

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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.