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Finding the Fourth Proportional to 3,580.14, 5,369.90 and 983.07

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Solution

The fourth proportional to 3,580.14, 5,369.90 and 983.07 is: 1,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.14 : 5,369.90 = 983.07 : x
  2. Step 2: Convert to fraction form
    3,580.14/5,369.90 = 983.07/x
  3. Step 3: Cross multiply
    3,580.14x = 5,369.90 × 983.07
  4. Step 4: Simplify right side
    3,580.14x = 5,278,982.68
  5. Step 5: Solve for x
    x = 5,278,982.68/3,580.14
  6. Step 6: Final answer
    x = 1,474.52

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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.