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Finding the Fourth Proportional to 4,257.91, 5,872.62 and 3,779.86

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Solution

The fourth proportional to 4,257.91, 5,872.62 and 3,779.86 is: 5,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.91 : 5,872.62 = 3,779.86 : x
  2. Step 2: Convert to fraction form
    4,257.91/5,872.62 = 3,779.86/x
  3. Step 3: Cross multiply
    4,257.91x = 5,872.62 × 3,779.86
  4. Step 4: Simplify right side
    4,257.91x = 22,197,681.43
  5. Step 5: Solve for x
    x = 22,197,681.43/4,257.91
  6. Step 6: Final answer
    x = 5,213.28

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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.