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Finding the Fourth Proportional to 3,846.94, 5,771.23 and 1,215.21

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Solution

The fourth proportional to 3,846.94, 5,771.23 and 1,215.21 is: 1,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.94 : 5,771.23 = 1,215.21 : x
  2. Step 2: Convert to fraction form
    3,846.94/5,771.23 = 1,215.21/x
  3. Step 3: Cross multiply
    3,846.94x = 5,771.23 × 1,215.21
  4. Step 4: Simplify right side
    3,846.94x = 7,013,275.01
  5. Step 5: Solve for x
    x = 7,013,275.01/3,846.94
  6. Step 6: Final answer
    x = 1,823.08

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1.5x scale

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.