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Finding the Fourth Proportional to 5,527.14, 7,627.53 and 3,401.82

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Solution

The fourth proportional to 5,527.14, 7,627.53 and 3,401.82 is: 4,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.14 : 7,627.53 = 3,401.82 : x
  2. Step 2: Convert to fraction form
    5,527.14/7,627.53 = 3,401.82/x
  3. Step 3: Cross multiply
    5,527.14x = 7,627.53 × 3,401.82
  4. Step 4: Simplify right side
    5,527.14x = 25,947,484.10
  5. Step 5: Solve for x
    x = 25,947,484.10/5,527.14
  6. Step 6: Final answer
    x = 4,694.56

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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.