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Finding the Fourth Proportional to 3,955.32, 5,924.34 and 1,899

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Solution

The fourth proportional to 3,955.32, 5,924.34 and 1,899 is: 2,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.32 : 5,924.34 = 1,899 : x
  2. Step 2: Convert to fraction form
    3,955.32/5,924.34 = 1,899/x
  3. Step 3: Cross multiply
    3,955.32x = 5,924.34 × 1,899
  4. Step 4: Simplify right side
    3,955.32x = 11,250,321.66
  5. Step 5: Solve for x
    x = 11,250,321.66/3,955.32
  6. Step 6: Final answer
    x = 2,844.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.