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Finding the Fourth Proportional to 3,954.95, 5,928.16 and 2,007.30

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Solution

The fourth proportional to 3,954.95, 5,928.16 and 2,007.30 is: 3,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.95 : 5,928.16 = 2,007.30 : x
  2. Step 2: Convert to fraction form
    3,954.95/5,928.16 = 2,007.30/x
  3. Step 3: Cross multiply
    3,954.95x = 5,928.16 × 2,007.30
  4. Step 4: Simplify right side
    3,954.95x = 11,899,595.57
  5. Step 5: Solve for x
    x = 11,899,595.57/3,954.95
  6. Step 6: Final answer
    x = 3,008.79

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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.