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Finding the Fourth Proportional to 2,909.54, 4,013.34 and 2,537.41

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Solution

The fourth proportional to 2,909.54, 4,013.34 and 2,537.41 is: 3,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.54 : 4,013.34 = 2,537.41 : x
  2. Step 2: Convert to fraction form
    2,909.54/4,013.34 = 2,537.41/x
  3. Step 3: Cross multiply
    2,909.54x = 4,013.34 × 2,537.41
  4. Step 4: Simplify right side
    2,909.54x = 10,183,489.05
  5. Step 5: Solve for x
    x = 10,183,489.05/2,909.54
  6. Step 6: Final answer
    x = 3,500.03

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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.