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Finding the Fourth Proportional to 3,671.63, 5,069.01 and 2,414.88

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Solution

The fourth proportional to 3,671.63, 5,069.01 and 2,414.88 is: 3,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.63 : 5,069.01 = 2,414.88 : x
  2. Step 2: Convert to fraction form
    3,671.63/5,069.01 = 2,414.88/x
  3. Step 3: Cross multiply
    3,671.63x = 5,069.01 × 2,414.88
  4. Step 4: Simplify right side
    3,671.63x = 12,241,059.92
  5. Step 5: Solve for x
    x = 12,241,059.92/3,671.63
  6. Step 6: Final answer
    x = 3,333.96

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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.