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Finding the Fourth Proportional to 5,576.34, 8,357.22 and 4,178.69

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Solution

The fourth proportional to 5,576.34, 8,357.22 and 4,178.69 is: 6,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.34 : 8,357.22 = 4,178.69 : x
  2. Step 2: Convert to fraction form
    5,576.34/8,357.22 = 4,178.69/x
  3. Step 3: Cross multiply
    5,576.34x = 8,357.22 × 4,178.69
  4. Step 4: Simplify right side
    5,576.34x = 34,922,189.86
  5. Step 5: Solve for x
    x = 34,922,189.86/5,576.34
  6. Step 6: Final answer
    x = 6,262.56

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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.