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Finding the Fourth Proportional to 5,564.43, 7,672.73 and 4,148.96

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Solution

The fourth proportional to 5,564.43, 7,672.73 and 4,148.96 is: 5,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.43 : 7,672.73 = 4,148.96 : x
  2. Step 2: Convert to fraction form
    5,564.43/7,672.73 = 4,148.96/x
  3. Step 3: Cross multiply
    5,564.43x = 7,672.73 × 4,148.96
  4. Step 4: Simplify right side
    5,564.43x = 31,833,790.75
  5. Step 5: Solve for x
    x = 31,833,790.75/5,564.43
  6. Step 6: Final answer
    x = 5,720.94

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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.