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Finding the Fourth Proportional to 3,758.08, 5,636.56 and 984.80

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Solution

The fourth proportional to 3,758.08, 5,636.56 and 984.80 is: 1,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.08 : 5,636.56 = 984.80 : x
  2. Step 2: Convert to fraction form
    3,758.08/5,636.56 = 984.80/x
  3. Step 3: Cross multiply
    3,758.08x = 5,636.56 × 984.80
  4. Step 4: Simplify right side
    3,758.08x = 5,550,884.29
  5. Step 5: Solve for x
    x = 5,550,884.29/3,758.08
  6. Step 6: Final answer
    x = 1,477.05

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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.