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Finding the Fourth Proportional to 3,954.79, 5,928 and 1,321.63

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Solution

The fourth proportional to 3,954.79, 5,928 and 1,321.63 is: 1,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.79 : 5,928 = 1,321.63 : x
  2. Step 2: Convert to fraction form
    3,954.79/5,928 = 1,321.63/x
  3. Step 3: Cross multiply
    3,954.79x = 5,928 × 1,321.63
  4. Step 4: Simplify right side
    3,954.79x = 7,834,622.64
  5. Step 5: Solve for x
    x = 7,834,622.64/3,954.79
  6. Step 6: Final answer
    x = 1,981.05

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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.