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Finding the Fourth Proportional to 3,643.70, 5,028.10 and 2,152.10

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Solution

The fourth proportional to 3,643.70, 5,028.10 and 2,152.10 is: 2,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.70 : 5,028.10 = 2,152.10 : x
  2. Step 2: Convert to fraction form
    3,643.70/5,028.10 = 2,152.10/x
  3. Step 3: Cross multiply
    3,643.70x = 5,028.10 × 2,152.10
  4. Step 4: Simplify right side
    3,643.70x = 10,820,974.01
  5. Step 5: Solve for x
    x = 10,820,974.01/3,643.70
  6. Step 6: Final answer
    x = 2,969.78

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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.