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Finding the Fourth Proportional to 3,581.58, 5,372.56 and 984.72

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Solution

The fourth proportional to 3,581.58, 5,372.56 and 984.72 is: 1,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.58 : 5,372.56 = 984.72 : x
  2. Step 2: Convert to fraction form
    3,581.58/5,372.56 = 984.72/x
  3. Step 3: Cross multiply
    3,581.58x = 5,372.56 × 984.72
  4. Step 4: Simplify right side
    3,581.58x = 5,290,467.28
  5. Step 5: Solve for x
    x = 5,290,467.28/3,581.58
  6. Step 6: Final answer
    x = 1,477.13

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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.