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Finding the Fourth Proportional to 5,010.64, 6,914.72 and 3,020.80

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Solution

The fourth proportional to 5,010.64, 6,914.72 and 3,020.80 is: 4,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.64 : 6,914.72 = 3,020.80 : x
  2. Step 2: Convert to fraction form
    5,010.64/6,914.72 = 3,020.80/x
  3. Step 3: Cross multiply
    5,010.64x = 6,914.72 × 3,020.80
  4. Step 4: Simplify right side
    5,010.64x = 20,887,986.18
  5. Step 5: Solve for x
    x = 20,887,986.18/5,010.64
  6. Step 6: Final answer
    x = 4,168.73

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