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Finding the Fourth Proportional to 3,693.63, 5,096.88 and 2,121.42

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Solution

The fourth proportional to 3,693.63, 5,096.88 and 2,121.42 is: 2,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.63 : 5,096.88 = 2,121.42 : x
  2. Step 2: Convert to fraction form
    3,693.63/5,096.88 = 2,121.42/x
  3. Step 3: Cross multiply
    3,693.63x = 5,096.88 × 2,121.42
  4. Step 4: Simplify right side
    3,693.63x = 10,812,623.17
  5. Step 5: Solve for x
    x = 10,812,623.17/3,693.63
  6. Step 6: Final answer
    x = 2,927.37

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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.