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Finding the Fourth Proportional to 5,567.56, 7,683.00 and 3,049.62

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Solution

The fourth proportional to 5,567.56, 7,683.00 and 3,049.62 is: 4,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.56 : 7,683.00 = 3,049.62 : x
  2. Step 2: Convert to fraction form
    5,567.56/7,683.00 = 3,049.62/x
  3. Step 3: Cross multiply
    5,567.56x = 7,683.00 × 3,049.62
  4. Step 4: Simplify right side
    5,567.56x = 23,430,201.10
  5. Step 5: Solve for x
    x = 23,430,201.10/5,567.56
  6. Step 6: Final answer
    x = 4,208.34

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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.