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Finding the Fourth Proportional to 3,449.18, 5,173.77 and 984.05

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Solution

The fourth proportional to 3,449.18, 5,173.77 and 984.05 is: 1,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.18 : 5,173.77 = 984.05 : x
  2. Step 2: Convert to fraction form
    3,449.18/5,173.77 = 984.05/x
  3. Step 3: Cross multiply
    3,449.18x = 5,173.77 × 984.05
  4. Step 4: Simplify right side
    3,449.18x = 5,091,248.37
  5. Step 5: Solve for x
    x = 5,091,248.37/3,449.18
  6. Step 6: Final answer
    x = 1,476.08

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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.