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Finding the Fourth Proportional to 3,955.21, 5,932.76 and 1,614.71

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Solution

The fourth proportional to 3,955.21, 5,932.76 and 1,614.71 is: 2,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.21 : 5,932.76 = 1,614.71 : x
  2. Step 2: Convert to fraction form
    3,955.21/5,932.76 = 1,614.71/x
  3. Step 3: Cross multiply
    3,955.21x = 5,932.76 × 1,614.71
  4. Step 4: Simplify right side
    3,955.21x = 9,579,693.66
  5. Step 5: Solve for x
    x = 9,579,693.66/3,955.21
  6. Step 6: Final answer
    x = 2,422.05

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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.