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Finding the Fourth Proportional to 3,301.59, 4,960.13 and 3,114.78

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Solution

The fourth proportional to 3,301.59, 4,960.13 and 3,114.78 is: 4,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.59 : 4,960.13 = 3,114.78 : x
  2. Step 2: Convert to fraction form
    3,301.59/4,960.13 = 3,114.78/x
  3. Step 3: Cross multiply
    3,301.59x = 4,960.13 × 3,114.78
  4. Step 4: Simplify right side
    3,301.59x = 15,449,698.15
  5. Step 5: Solve for x
    x = 15,449,698.15/3,301.59
  6. Step 6: Final answer
    x = 4,679.47

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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.