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Finding the Fourth Proportional to 4,559.91, 6,838.11 and 1,784.99

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Solution

The fourth proportional to 4,559.91, 6,838.11 and 1,784.99 is: 2,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.91 : 6,838.11 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    4,559.91/6,838.11 = 1,784.99/x
  3. Step 3: Cross multiply
    4,559.91x = 6,838.11 × 1,784.99
  4. Step 4: Simplify right side
    4,559.91x = 12,205,923.78
  5. Step 5: Solve for x
    x = 12,205,923.78/4,559.91
  6. Step 6: Final answer
    x = 2,676.79

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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.