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Finding the Fourth Proportional to 3,886.50, 5,827.04 and 2,246.24

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Solution

The fourth proportional to 3,886.50, 5,827.04 and 2,246.24 is: 3,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.50 : 5,827.04 = 2,246.24 : x
  2. Step 2: Convert to fraction form
    3,886.50/5,827.04 = 2,246.24/x
  3. Step 3: Cross multiply
    3,886.50x = 5,827.04 × 2,246.24
  4. Step 4: Simplify right side
    3,886.50x = 13,088,930.33
  5. Step 5: Solve for x
    x = 13,088,930.33/3,886.50
  6. Step 6: Final answer
    x = 3,367.79

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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.