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Finding the Fourth Proportional to 3,448.79, 5,171.61 and 983.02

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Solution

The fourth proportional to 3,448.79, 5,171.61 and 983.02 is: 1,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.79 : 5,171.61 = 983.02 : x
  2. Step 2: Convert to fraction form
    3,448.79/5,171.61 = 983.02/x
  3. Step 3: Cross multiply
    3,448.79x = 5,171.61 × 983.02
  4. Step 4: Simplify right side
    3,448.79x = 5,083,796.06
  5. Step 5: Solve for x
    x = 5,083,796.06/3,448.79
  6. Step 6: Final answer
    x = 1,474.08

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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.