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Finding the Fourth Proportional to 3,693.40, 5,539.02 and 1,384.36

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Solution

The fourth proportional to 3,693.40, 5,539.02 and 1,384.36 is: 2,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.40 : 5,539.02 = 1,384.36 : x
  2. Step 2: Convert to fraction form
    3,693.40/5,539.02 = 1,384.36/x
  3. Step 3: Cross multiply
    3,693.40x = 5,539.02 × 1,384.36
  4. Step 4: Simplify right side
    3,693.40x = 7,667,997.73
  5. Step 5: Solve for x
    x = 7,667,997.73/3,693.40
  6. Step 6: Final answer
    x = 2,076.14

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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.