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Finding the Fourth Proportional to 3,301.97, 4,950.21 and 1,546.11

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Solution

The fourth proportional to 3,301.97, 4,950.21 and 1,546.11 is: 2,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.97 : 4,950.21 = 1,546.11 : x
  2. Step 2: Convert to fraction form
    3,301.97/4,950.21 = 1,546.11/x
  3. Step 3: Cross multiply
    3,301.97x = 4,950.21 × 1,546.11
  4. Step 4: Simplify right side
    3,301.97x = 7,653,569.18
  5. Step 5: Solve for x
    x = 7,653,569.18/3,301.97
  6. Step 6: Final answer
    x = 2,317.88

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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.