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Finding the Fourth Proportional to 3,974.07, 5,959.95 and 1,602.15

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Solution

The fourth proportional to 3,974.07, 5,959.95 and 1,602.15 is: 2,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.07 : 5,959.95 = 1,602.15 : x
  2. Step 2: Convert to fraction form
    3,974.07/5,959.95 = 1,602.15/x
  3. Step 3: Cross multiply
    3,974.07x = 5,959.95 × 1,602.15
  4. Step 4: Simplify right side
    3,974.07x = 9,548,719.05
  5. Step 5: Solve for x
    x = 9,548,719.05/3,974.07
  6. Step 6: Final answer
    x = 2,402.76

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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.