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Finding the Fourth Proportional to 5,720.22, 7,893.21 and 3,202.46

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Solution

The fourth proportional to 5,720.22, 7,893.21 and 3,202.46 is: 4,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.22 : 7,893.21 = 3,202.46 : x
  2. Step 2: Convert to fraction form
    5,720.22/7,893.21 = 3,202.46/x
  3. Step 3: Cross multiply
    5,720.22x = 7,893.21 × 3,202.46
  4. Step 4: Simplify right side
    5,720.22x = 25,277,689.30
  5. Step 5: Solve for x
    x = 25,277,689.30/5,720.22
  6. Step 6: Final answer
    x = 4,419.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.