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Finding the Fourth Proportional to 5,517.56, 7,614.54 and 3,653.24

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Solution

The fourth proportional to 5,517.56, 7,614.54 and 3,653.24 is: 5,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.56 : 7,614.54 = 3,653.24 : x
  2. Step 2: Convert to fraction form
    5,517.56/7,614.54 = 3,653.24/x
  3. Step 3: Cross multiply
    5,517.56x = 7,614.54 × 3,653.24
  4. Step 4: Simplify right side
    5,517.56x = 27,817,742.11
  5. Step 5: Solve for x
    x = 27,817,742.11/5,517.56
  6. Step 6: Final answer
    x = 5,041.67

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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.