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Finding the Fourth Proportional to 4,814.91, 6,644.57 and 2,927.10

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Solution

The fourth proportional to 4,814.91, 6,644.57 and 2,927.10 is: 4,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.91 : 6,644.57 = 2,927.10 : x
  2. Step 2: Convert to fraction form
    4,814.91/6,644.57 = 2,927.10/x
  3. Step 3: Cross multiply
    4,814.91x = 6,644.57 × 2,927.10
  4. Step 4: Simplify right side
    4,814.91x = 19,449,320.85
  5. Step 5: Solve for x
    x = 19,449,320.85/4,814.91
  6. Step 6: Final answer
    x = 4,039.39

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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.