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Finding the Fourth Proportional to 3,580.27, 5,369.97 and 983.41

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Solution

The fourth proportional to 3,580.27, 5,369.97 and 983.41 is: 1,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.27 : 5,369.97 = 983.41 : x
  2. Step 2: Convert to fraction form
    3,580.27/5,369.97 = 983.41/x
  3. Step 3: Cross multiply
    3,580.27x = 5,369.97 × 983.41
  4. Step 4: Simplify right side
    3,580.27x = 5,280,882.20
  5. Step 5: Solve for x
    x = 5,280,882.20/3,580.27
  6. Step 6: Final answer
    x = 1,475.00

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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.