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Finding the Fourth Proportional to 3,684, 5,084.69 and 2,427.08

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Solution

The fourth proportional to 3,684, 5,084.69 and 2,427.08 is: 3,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684 : 5,084.69 = 2,427.08 : x
  2. Step 2: Convert to fraction form
    3,684/5,084.69 = 2,427.08/x
  3. Step 3: Cross multiply
    3,684x = 5,084.69 × 2,427.08
  4. Step 4: Simplify right side
    3,684x = 12,340,949.41
  5. Step 5: Solve for x
    x = 12,340,949.41/3,684
  6. Step 6: Final answer
    x = 3,349.88

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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.