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Finding the Fourth Proportional to 5,564.56, 7,680.80 and 3,208.27

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Solution

The fourth proportional to 5,564.56, 7,680.80 and 3,208.27 is: 4,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.56 : 7,680.80 = 3,208.27 : x
  2. Step 2: Convert to fraction form
    5,564.56/7,680.80 = 3,208.27/x
  3. Step 3: Cross multiply
    5,564.56x = 7,680.80 × 3,208.27
  4. Step 4: Simplify right side
    5,564.56x = 24,642,080.22
  5. Step 5: Solve for x
    x = 24,642,080.22/5,564.56
  6. Step 6: Final answer
    x = 4,428.40

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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.