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Finding the Fourth Proportional to 5,563.96, 7,678.40 and 3,205.96

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Solution

The fourth proportional to 5,563.96, 7,678.40 and 3,205.96 is: 4,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.96 : 7,678.40 = 3,205.96 : x
  2. Step 2: Convert to fraction form
    5,563.96/7,678.40 = 3,205.96/x
  3. Step 3: Cross multiply
    5,563.96x = 7,678.40 × 3,205.96
  4. Step 4: Simplify right side
    5,563.96x = 24,616,643.26
  5. Step 5: Solve for x
    x = 24,616,643.26/5,563.96
  6. Step 6: Final answer
    x = 4,424.30

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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.