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Finding the Fourth Proportional to 3,974.11, 5,959.74 and 1,509.59

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Solution

The fourth proportional to 3,974.11, 5,959.74 and 1,509.59 is: 2,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.11 : 5,959.74 = 1,509.59 : x
  2. Step 2: Convert to fraction form
    3,974.11/5,959.74 = 1,509.59/x
  3. Step 3: Cross multiply
    3,974.11x = 5,959.74 × 1,509.59
  4. Step 4: Simplify right side
    3,974.11x = 8,996,763.91
  5. Step 5: Solve for x
    x = 8,996,763.91/3,974.11
  6. Step 6: Final answer
    x = 2,263.84

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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.