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Finding the Fourth Proportional to 3,591.94, 4,946.79 and 2,965

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Solution

The fourth proportional to 3,591.94, 4,946.79 and 2,965 is: 4,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.94 : 4,946.79 = 2,965 : x
  2. Step 2: Convert to fraction form
    3,591.94/4,946.79 = 2,965/x
  3. Step 3: Cross multiply
    3,591.94x = 4,946.79 × 2,965
  4. Step 4: Simplify right side
    3,591.94x = 14,667,232.35
  5. Step 5: Solve for x
    x = 14,667,232.35/3,591.94
  6. Step 6: Final answer
    x = 4,083.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.