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Finding the Fourth Proportional to 3,946.95, 5,453.46 and 3,054.33

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Solution

The fourth proportional to 3,946.95, 5,453.46 and 3,054.33 is: 4,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.95 : 5,453.46 = 3,054.33 : x
  2. Step 2: Convert to fraction form
    3,946.95/5,453.46 = 3,054.33/x
  3. Step 3: Cross multiply
    3,946.95x = 5,453.46 × 3,054.33
  4. Step 4: Simplify right side
    3,946.95x = 16,656,677.94
  5. Step 5: Solve for x
    x = 16,656,677.94/3,946.95
  6. Step 6: Final answer
    x = 4,220.14

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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.