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Finding the Fourth Proportional to 5,564.64, 7,677.84 and 3,327.24

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Solution

The fourth proportional to 5,564.64, 7,677.84 and 3,327.24 is: 4,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.64 : 7,677.84 = 3,327.24 : x
  2. Step 2: Convert to fraction form
    5,564.64/7,677.84 = 3,327.24/x
  3. Step 3: Cross multiply
    5,564.64x = 7,677.84 × 3,327.24
  4. Step 4: Simplify right side
    5,564.64x = 25,546,016.36
  5. Step 5: Solve for x
    x = 25,546,016.36/5,564.64
  6. Step 6: Final answer
    x = 4,590.78

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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.