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Finding the Fourth Proportional to 5,567.54, 7,683.30 and 3,049.60

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Solution

The fourth proportional to 5,567.54, 7,683.30 and 3,049.60 is: 4,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.54 : 7,683.30 = 3,049.60 : x
  2. Step 2: Convert to fraction form
    5,567.54/7,683.30 = 3,049.60/x
  3. Step 3: Cross multiply
    5,567.54x = 7,683.30 × 3,049.60
  4. Step 4: Simplify right side
    5,567.54x = 23,430,991.68
  5. Step 5: Solve for x
    x = 23,430,991.68/5,567.54
  6. Step 6: Final answer
    x = 4,208.50

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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.