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Finding the Fourth Proportional to 5,420.96, 8,128.40 and 3,231.20

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Solution

The fourth proportional to 5,420.96, 8,128.40 and 3,231.20 is: 4,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.96 : 8,128.40 = 3,231.20 : x
  2. Step 2: Convert to fraction form
    5,420.96/8,128.40 = 3,231.20/x
  3. Step 3: Cross multiply
    5,420.96x = 8,128.40 × 3,231.20
  4. Step 4: Simplify right side
    5,420.96x = 26,264,486.08
  5. Step 5: Solve for x
    x = 26,264,486.08/5,420.96
  6. Step 6: Final answer
    x = 4,844.99

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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.