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Finding the Fourth Proportional to 3,843.39, 5,303.99 and 2,164.86

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Solution

The fourth proportional to 3,843.39, 5,303.99 and 2,164.86 is: 2,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.39 : 5,303.99 = 2,164.86 : x
  2. Step 2: Convert to fraction form
    3,843.39/5,303.99 = 2,164.86/x
  3. Step 3: Cross multiply
    3,843.39x = 5,303.99 × 2,164.86
  4. Step 4: Simplify right side
    3,843.39x = 11,482,395.79
  5. Step 5: Solve for x
    x = 11,482,395.79/3,843.39
  6. Step 6: Final answer
    x = 2,987.57

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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.