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Finding the Fourth Proportional to 3,693.34, 5,096.73 and 2,014.75

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Solution

The fourth proportional to 3,693.34, 5,096.73 and 2,014.75 is: 2,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.34 : 5,096.73 = 2,014.75 : x
  2. Step 2: Convert to fraction form
    3,693.34/5,096.73 = 2,014.75/x
  3. Step 3: Cross multiply
    3,693.34x = 5,096.73 × 2,014.75
  4. Step 4: Simplify right side
    3,693.34x = 10,268,636.77
  5. Step 5: Solve for x
    x = 10,268,636.77/3,693.34
  6. Step 6: Final answer
    x = 2,780.31

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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.