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Finding the Fourth Proportional to 3,447.01, 5,170.68 and 982.00

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Solution

The fourth proportional to 3,447.01, 5,170.68 and 982.00 is: 1,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.01 : 5,170.68 = 982.00 : x
  2. Step 2: Convert to fraction form
    3,447.01/5,170.68 = 982.00/x
  3. Step 3: Cross multiply
    3,447.01x = 5,170.68 × 982.00
  4. Step 4: Simplify right side
    3,447.01x = 5,077,577.00
  5. Step 5: Solve for x
    x = 5,077,577.00/3,447.01
  6. Step 6: Final answer
    x = 1,473.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.