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Finding the Fourth Proportional to 4,926.27, 7,392.21 and 1,805.86

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Solution

The fourth proportional to 4,926.27, 7,392.21 and 1,805.86 is: 2,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.27 : 7,392.21 = 1,805.86 : x
  2. Step 2: Convert to fraction form
    4,926.27/7,392.21 = 1,805.86/x
  3. Step 3: Cross multiply
    4,926.27x = 7,392.21 × 1,805.86
  4. Step 4: Simplify right side
    4,926.27x = 13,349,277.87
  5. Step 5: Solve for x
    x = 13,349,277.87/4,926.27
  6. Step 6: Final answer
    x = 2,709.81

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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.