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Finding the Fourth Proportional to 3,843.59, 5,304.09 and 2,164.99

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Solution

The fourth proportional to 3,843.59, 5,304.09 and 2,164.99 is: 2,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.59 : 5,304.09 = 2,164.99 : x
  2. Step 2: Convert to fraction form
    3,843.59/5,304.09 = 2,164.99/x
  3. Step 3: Cross multiply
    3,843.59x = 5,304.09 × 2,164.99
  4. Step 4: Simplify right side
    3,843.59x = 11,483,301.81
  5. Step 5: Solve for x
    x = 11,483,301.81/3,843.59
  6. Step 6: Final answer
    x = 2,987.65

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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.