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Finding the Fourth Proportional to 5,119.98, 7,679.12 and 1,422.58

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Solution

The fourth proportional to 5,119.98, 7,679.12 and 1,422.58 is: 2,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.98 : 7,679.12 = 1,422.58 : x
  2. Step 2: Convert to fraction form
    5,119.98/7,679.12 = 1,422.58/x
  3. Step 3: Cross multiply
    5,119.98x = 7,679.12 × 1,422.58
  4. Step 4: Simplify right side
    5,119.98x = 10,924,162.53
  5. Step 5: Solve for x
    x = 10,924,162.53/5,119.98
  6. Step 6: Final answer
    x = 2,133.63

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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.