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Finding the Fourth Proportional to 3,946.46, 5,447.07 and 2,374.25

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Solution

The fourth proportional to 3,946.46, 5,447.07 and 2,374.25 is: 3,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.46 : 5,447.07 = 2,374.25 : x
  2. Step 2: Convert to fraction form
    3,946.46/5,447.07 = 2,374.25/x
  3. Step 3: Cross multiply
    3,946.46x = 5,447.07 × 2,374.25
  4. Step 4: Simplify right side
    3,946.46x = 12,932,705.95
  5. Step 5: Solve for x
    x = 12,932,705.95/3,946.46
  6. Step 6: Final answer
    x = 3,277.04

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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.