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Finding the Fourth Proportional to 3,505.34, 4,837.49 and 2,013.53

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Solution

The fourth proportional to 3,505.34, 4,837.49 and 2,013.53 is: 2,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.34 : 4,837.49 = 2,013.53 : x
  2. Step 2: Convert to fraction form
    3,505.34/4,837.49 = 2,013.53/x
  3. Step 3: Cross multiply
    3,505.34x = 4,837.49 × 2,013.53
  4. Step 4: Simplify right side
    3,505.34x = 9,740,396.98
  5. Step 5: Solve for x
    x = 9,740,396.98/3,505.34
  6. Step 6: Final answer
    x = 2,778.73

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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.