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Finding the Fourth Proportional to 6,176.96, 8,524.32 and 3,658.14

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Solution

The fourth proportional to 6,176.96, 8,524.32 and 3,658.14 is: 5,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.96 : 8,524.32 = 3,658.14 : x
  2. Step 2: Convert to fraction form
    6,176.96/8,524.32 = 3,658.14/x
  3. Step 3: Cross multiply
    6,176.96x = 8,524.32 × 3,658.14
  4. Step 4: Simplify right side
    6,176.96x = 31,183,155.96
  5. Step 5: Solve for x
    x = 31,183,155.96/6,176.96
  6. Step 6: Final answer
    x = 5,048.31

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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.