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Finding the Fourth Proportional to 3,306.81, 4,958.50 and 1,114.75

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Solution

The fourth proportional to 3,306.81, 4,958.50 and 1,114.75 is: 1,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.81 : 4,958.50 = 1,114.75 : x
  2. Step 2: Convert to fraction form
    3,306.81/4,958.50 = 1,114.75/x
  3. Step 3: Cross multiply
    3,306.81x = 4,958.50 × 1,114.75
  4. Step 4: Simplify right side
    3,306.81x = 5,527,487.88
  5. Step 5: Solve for x
    x = 5,527,487.88/3,306.81
  6. Step 6: Final answer
    x = 1,671.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.