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Finding the Fourth Proportional to 5,526.66, 7,627 and 3,169.24

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Solution

The fourth proportional to 5,526.66, 7,627 and 3,169.24 is: 4,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.66 : 7,627 = 3,169.24 : x
  2. Step 2: Convert to fraction form
    5,526.66/7,627 = 3,169.24/x
  3. Step 3: Cross multiply
    5,526.66x = 7,627 × 3,169.24
  4. Step 4: Simplify right side
    5,526.66x = 24,171,793.48
  5. Step 5: Solve for x
    x = 24,171,793.48/5,526.66
  6. Step 6: Final answer
    x = 4,373.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.