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Finding the Fourth Proportional to 3,843.16, 5,303.49 and 2,164.56

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Solution

The fourth proportional to 3,843.16, 5,303.49 and 2,164.56 is: 2,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.16 : 5,303.49 = 2,164.56 : x
  2. Step 2: Convert to fraction form
    3,843.16/5,303.49 = 2,164.56/x
  3. Step 3: Cross multiply
    3,843.16x = 5,303.49 × 2,164.56
  4. Step 4: Simplify right side
    3,843.16x = 11,479,722.31
  5. Step 5: Solve for x
    x = 11,479,722.31/3,843.16
  6. Step 6: Final answer
    x = 2,987.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.