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Finding the Fourth Proportional to 5,256.54, 7,873.29 and 3,200.22

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Solution

The fourth proportional to 5,256.54, 7,873.29 and 3,200.22 is: 4,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.54 : 7,873.29 = 3,200.22 : x
  2. Step 2: Convert to fraction form
    5,256.54/7,873.29 = 3,200.22/x
  3. Step 3: Cross multiply
    5,256.54x = 7,873.29 × 3,200.22
  4. Step 4: Simplify right side
    5,256.54x = 25,196,260.12
  5. Step 5: Solve for x
    x = 25,196,260.12/5,256.54
  6. Step 6: Final answer
    x = 4,793.32

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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.