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Finding the Fourth Proportional to 5,430.28, 8,144.88 and 2,146

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Solution

The fourth proportional to 5,430.28, 8,144.88 and 2,146 is: 3,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.28 : 8,144.88 = 2,146 : x
  2. Step 2: Convert to fraction form
    5,430.28/8,144.88 = 2,146/x
  3. Step 3: Cross multiply
    5,430.28x = 8,144.88 × 2,146
  4. Step 4: Simplify right side
    5,430.28x = 17,478,912.48
  5. Step 5: Solve for x
    x = 17,478,912.48/5,430.28
  6. Step 6: Final answer
    x = 3,218.79

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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.