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Finding the Fourth Proportional to 3,933.60, 5,428.15 and 2,164.86

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Solution

The fourth proportional to 3,933.60, 5,428.15 and 2,164.86 is: 2,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.60 : 5,428.15 = 2,164.86 : x
  2. Step 2: Convert to fraction form
    3,933.60/5,428.15 = 2,164.86/x
  3. Step 3: Cross multiply
    3,933.60x = 5,428.15 × 2,164.86
  4. Step 4: Simplify right side
    3,933.60x = 11,751,184.81
  5. Step 5: Solve for x
    x = 11,751,184.81/3,933.60
  6. Step 6: Final answer
    x = 2,987.39

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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.