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Finding the Fourth Proportional to 3,364.83, 4,640.72 and 2,824.38

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Solution

The fourth proportional to 3,364.83, 4,640.72 and 2,824.38 is: 3,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.83 : 4,640.72 = 2,824.38 : x
  2. Step 2: Convert to fraction form
    3,364.83/4,640.72 = 2,824.38/x
  3. Step 3: Cross multiply
    3,364.83x = 4,640.72 × 2,824.38
  4. Step 4: Simplify right side
    3,364.83x = 13,107,142.63
  5. Step 5: Solve for x
    x = 13,107,142.63/3,364.83
  6. Step 6: Final answer
    x = 3,895.34

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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.