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Finding the Fourth Proportional to 5,563.60, 7,677.76 and 3,206.48

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Solution

The fourth proportional to 5,563.60, 7,677.76 and 3,206.48 is: 4,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.60 : 7,677.76 = 3,206.48 : x
  2. Step 2: Convert to fraction form
    5,563.60/7,677.76 = 3,206.48/x
  3. Step 3: Cross multiply
    5,563.60x = 7,677.76 × 3,206.48
  4. Step 4: Simplify right side
    5,563.60x = 24,618,583.88
  5. Step 5: Solve for x
    x = 24,618,583.88/5,563.60
  6. Step 6: Final answer
    x = 4,424.94

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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.