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Finding the Fourth Proportional to 5,201.16, 7,783.20 and 4,167.80

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Solution

The fourth proportional to 5,201.16, 7,783.20 and 4,167.80 is: 6,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.16 : 7,783.20 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    5,201.16/7,783.20 = 4,167.80/x
  3. Step 3: Cross multiply
    5,201.16x = 7,783.20 × 4,167.80
  4. Step 4: Simplify right side
    5,201.16x = 32,438,820.96
  5. Step 5: Solve for x
    x = 32,438,820.96/5,201.16
  6. Step 6: Final answer
    x = 6,236.84

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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.