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Finding the Fourth Proportional to 4,469.99, 6,701.48 and 2,823.08

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Solution

The fourth proportional to 4,469.99, 6,701.48 and 2,823.08 is: 4,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.99 : 6,701.48 = 2,823.08 : x
  2. Step 2: Convert to fraction form
    4,469.99/6,701.48 = 2,823.08/x
  3. Step 3: Cross multiply
    4,469.99x = 6,701.48 × 2,823.08
  4. Step 4: Simplify right side
    4,469.99x = 18,918,814.16
  5. Step 5: Solve for x
    x = 18,918,814.16/4,469.99
  6. Step 6: Final answer
    x = 4,232.41

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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.