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Finding the Fourth Proportional to 3,581.34, 5,371.38 and 983.58

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Solution

The fourth proportional to 3,581.34, 5,371.38 and 983.58 is: 1,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.34 : 5,371.38 = 983.58 : x
  2. Step 2: Convert to fraction form
    3,581.34/5,371.38 = 983.58/x
  3. Step 3: Cross multiply
    3,581.34x = 5,371.38 × 983.58
  4. Step 4: Simplify right side
    3,581.34x = 5,283,181.94
  5. Step 5: Solve for x
    x = 5,283,181.94/3,581.34
  6. Step 6: Final answer
    x = 1,475.20

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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.