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Finding the Fourth Proportional to 3,932.96, 5,427.46 and 2,164.68

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Solution

The fourth proportional to 3,932.96, 5,427.46 and 2,164.68 is: 2,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,427.46 = 2,164.68 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,427.46 = 2,164.68/x
  3. Step 3: Cross multiply
    3,932.96x = 5,427.46 × 2,164.68
  4. Step 4: Simplify right side
    3,932.96x = 11,748,714.11
  5. Step 5: Solve for x
    x = 11,748,714.11/3,932.96
  6. Step 6: Final answer
    x = 2,987.24

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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.