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Finding the Fourth Proportional to 5,076.95, 7,614.65 and 1,958.42

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Solution

The fourth proportional to 5,076.95, 7,614.65 and 1,958.42 is: 2,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.95 : 7,614.65 = 1,958.42 : x
  2. Step 2: Convert to fraction form
    5,076.95/7,614.65 = 1,958.42/x
  3. Step 3: Cross multiply
    5,076.95x = 7,614.65 × 1,958.42
  4. Step 4: Simplify right side
    5,076.95x = 14,912,706.79
  5. Step 5: Solve for x
    x = 14,912,706.79/5,076.95
  6. Step 6: Final answer
    x = 2,937.34

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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.