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Finding the Fourth Proportional to 6,176.40, 8,523.54 and 3,658.44

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Solution

The fourth proportional to 6,176.40, 8,523.54 and 3,658.44 is: 5,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.40 : 8,523.54 = 3,658.44 : x
  2. Step 2: Convert to fraction form
    6,176.40/8,523.54 = 3,658.44/x
  3. Step 3: Cross multiply
    6,176.40x = 8,523.54 × 3,658.44
  4. Step 4: Simplify right side
    6,176.40x = 31,182,859.68
  5. Step 5: Solve for x
    x = 31,182,859.68/6,176.40
  6. Step 6: Final answer
    x = 5,048.71

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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.