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Finding the Fourth Proportional to 5,489.56, 7,569.82 and 4,148.27

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Solution

The fourth proportional to 5,489.56, 7,569.82 and 4,148.27 is: 5,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.56 : 7,569.82 = 4,148.27 : x
  2. Step 2: Convert to fraction form
    5,489.56/7,569.82 = 4,148.27/x
  3. Step 3: Cross multiply
    5,489.56x = 7,569.82 × 4,148.27
  4. Step 4: Simplify right side
    5,489.56x = 31,401,657.21
  5. Step 5: Solve for x
    x = 31,401,657.21/5,489.56
  6. Step 6: Final answer
    x = 5,720.25

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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.