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Finding the Fourth Proportional to 3,954.63, 5,932.35 and 2,006.31

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Solution

The fourth proportional to 3,954.63, 5,932.35 and 2,006.31 is: 3,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.63 : 5,932.35 = 2,006.31 : x
  2. Step 2: Convert to fraction form
    3,954.63/5,932.35 = 2,006.31/x
  3. Step 3: Cross multiply
    3,954.63x = 5,932.35 × 2,006.31
  4. Step 4: Simplify right side
    3,954.63x = 11,902,133.13
  5. Step 5: Solve for x
    x = 11,902,133.13/3,954.63
  6. Step 6: Final answer
    x = 3,009.67

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1.5x scale

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.