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Finding the Fourth Proportional to 5,507.66, 8,242.97 and 5,052.44

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Solution

The fourth proportional to 5,507.66, 8,242.97 and 5,052.44 is: 7,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.66 : 8,242.97 = 5,052.44 : x
  2. Step 2: Convert to fraction form
    5,507.66/8,242.97 = 5,052.44/x
  3. Step 3: Cross multiply
    5,507.66x = 8,242.97 × 5,052.44
  4. Step 4: Simplify right side
    5,507.66x = 41,647,106.69
  5. Step 5: Solve for x
    x = 41,647,106.69/5,507.66
  6. Step 6: Final answer
    x = 7,561.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.