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Finding the Fourth Proportional to 3,306.81, 4,960.19 and 3,114.23

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Solution

The fourth proportional to 3,306.81, 4,960.19 and 3,114.23 is: 4,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.81 : 4,960.19 = 3,114.23 : x
  2. Step 2: Convert to fraction form
    3,306.81/4,960.19 = 3,114.23/x
  3. Step 3: Cross multiply
    3,306.81x = 4,960.19 × 3,114.23
  4. Step 4: Simplify right side
    3,306.81x = 15,447,132.13
  5. Step 5: Solve for x
    x = 15,447,132.13/3,306.81
  6. Step 6: Final answer
    x = 4,671.31

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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.