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Finding the Fourth Proportional to 3,786.99, 5,223.08 and 2,461.12

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Solution

The fourth proportional to 3,786.99, 5,223.08 and 2,461.12 is: 3,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.99 : 5,223.08 = 2,461.12 : x
  2. Step 2: Convert to fraction form
    3,786.99/5,223.08 = 2,461.12/x
  3. Step 3: Cross multiply
    3,786.99x = 5,223.08 × 2,461.12
  4. Step 4: Simplify right side
    3,786.99x = 12,854,626.65
  5. Step 5: Solve for x
    x = 12,854,626.65/3,786.99
  6. Step 6: Final answer
    x = 3,394.42

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1.5x scale

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.