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Finding the Fourth Proportional to 3,736.39, 5,156.04 and 2,164.99

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Solution

The fourth proportional to 3,736.39, 5,156.04 and 2,164.99 is: 2,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.39 : 5,156.04 = 2,164.99 : x
  2. Step 2: Convert to fraction form
    3,736.39/5,156.04 = 2,164.99/x
  3. Step 3: Cross multiply
    3,736.39x = 5,156.04 × 2,164.99
  4. Step 4: Simplify right side
    3,736.39x = 11,162,775.04
  5. Step 5: Solve for x
    x = 11,162,775.04/3,736.39
  6. Step 6: Final answer
    x = 2,987.58

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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.