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Finding the Fourth Proportional to 3,877.56, 5,813.91 and 2,559.92

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Solution

The fourth proportional to 3,877.56, 5,813.91 and 2,559.92 is: 3,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.56 : 5,813.91 = 2,559.92 : x
  2. Step 2: Convert to fraction form
    3,877.56/5,813.91 = 2,559.92/x
  3. Step 3: Cross multiply
    3,877.56x = 5,813.91 × 2,559.92
  4. Step 4: Simplify right side
    3,877.56x = 14,883,115.42
  5. Step 5: Solve for x
    x = 14,883,115.42/3,877.56
  6. Step 6: Final answer
    x = 3,838.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.