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Finding the Fourth Proportional to 5,812, 8,054.36 and 5,701.20

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Solution

The fourth proportional to 5,812, 8,054.36 and 5,701.20 is: 7,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812 : 8,054.36 = 5,701.20 : x
  2. Step 2: Convert to fraction form
    5,812/8,054.36 = 5,701.20/x
  3. Step 3: Cross multiply
    5,812x = 8,054.36 × 5,701.20
  4. Step 4: Simplify right side
    5,812x = 45,919,517.23
  5. Step 5: Solve for x
    x = 45,919,517.23/5,812
  6. Step 6: Final answer
    x = 7,900.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.