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Finding the Fourth Proportional to 3,449.37, 5,173.33 and 983.53

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Solution

The fourth proportional to 3,449.37, 5,173.33 and 983.53 is: 1,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.37 : 5,173.33 = 983.53 : x
  2. Step 2: Convert to fraction form
    3,449.37/5,173.33 = 983.53/x
  3. Step 3: Cross multiply
    3,449.37x = 5,173.33 × 983.53
  4. Step 4: Simplify right side
    3,449.37x = 5,088,125.25
  5. Step 5: Solve for x
    x = 5,088,125.25/3,449.37
  6. Step 6: Final answer
    x = 1,475.09

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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.