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Finding the Fourth Proportional to 3,673.74, 5,069.75 and 1,995.14

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Solution

The fourth proportional to 3,673.74, 5,069.75 and 1,995.14 is: 2,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.74 : 5,069.75 = 1,995.14 : x
  2. Step 2: Convert to fraction form
    3,673.74/5,069.75 = 1,995.14/x
  3. Step 3: Cross multiply
    3,673.74x = 5,069.75 × 1,995.14
  4. Step 4: Simplify right side
    3,673.74x = 10,114,861.02
  5. Step 5: Solve for x
    x = 10,114,861.02/3,673.74
  6. Step 6: Final answer
    x = 2,753.29

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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.