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Finding the Fourth Proportional to 6,425.88, 8,869.20 and 4,183.86

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Solution

The fourth proportional to 6,425.88, 8,869.20 and 4,183.86 is: 5,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.88 : 8,869.20 = 4,183.86 : x
  2. Step 2: Convert to fraction form
    6,425.88/8,869.20 = 4,183.86/x
  3. Step 3: Cross multiply
    6,425.88x = 8,869.20 × 4,183.86
  4. Step 4: Simplify right side
    6,425.88x = 37,107,491.11
  5. Step 5: Solve for x
    x = 37,107,491.11/6,425.88
  6. Step 6: Final answer
    x = 5,774.69

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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.