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Finding the Fourth Proportional to 3,973.02, 5,959.46 and 1,634.10

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Solution

The fourth proportional to 3,973.02, 5,959.46 and 1,634.10 is: 2,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.02 : 5,959.46 = 1,634.10 : x
  2. Step 2: Convert to fraction form
    3,973.02/5,959.46 = 1,634.10/x
  3. Step 3: Cross multiply
    3,973.02x = 5,959.46 × 1,634.10
  4. Step 4: Simplify right side
    3,973.02x = 9,738,353.59
  5. Step 5: Solve for x
    x = 9,738,353.59/3,973.02
  6. Step 6: Final answer
    x = 2,451.12

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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.