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Finding the Fourth Proportional to 6,274.88, 8,658.70 and 3,756.48

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Solution

The fourth proportional to 6,274.88, 8,658.70 and 3,756.48 is: 5,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.88 : 8,658.70 = 3,756.48 : x
  2. Step 2: Convert to fraction form
    6,274.88/8,658.70 = 3,756.48/x
  3. Step 3: Cross multiply
    6,274.88x = 8,658.70 × 3,756.48
  4. Step 4: Simplify right side
    6,274.88x = 32,526,233.38
  5. Step 5: Solve for x
    x = 32,526,233.38/6,274.88
  6. Step 6: Final answer
    x = 5,183.56

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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.