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Finding the Fourth Proportional to 4,771.68, 6,586.71 and 2,782.86

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Solution

The fourth proportional to 4,771.68, 6,586.71 and 2,782.86 is: 3,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.68 : 6,586.71 = 2,782.86 : x
  2. Step 2: Convert to fraction form
    4,771.68/6,586.71 = 2,782.86/x
  3. Step 3: Cross multiply
    4,771.68x = 6,586.71 × 2,782.86
  4. Step 4: Simplify right side
    4,771.68x = 18,329,891.79
  5. Step 5: Solve for x
    x = 18,329,891.79/4,771.68
  6. Step 6: Final answer
    x = 3,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.