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Finding the Fourth Proportional to 3,886.32, 5,363.16 and 2,230

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Solution

The fourth proportional to 3,886.32, 5,363.16 and 2,230 is: 3,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.32 : 5,363.16 = 2,230 : x
  2. Step 2: Convert to fraction form
    3,886.32/5,363.16 = 2,230/x
  3. Step 3: Cross multiply
    3,886.32x = 5,363.16 × 2,230
  4. Step 4: Simplify right side
    3,886.32x = 11,959,846.80
  5. Step 5: Solve for x
    x = 11,959,846.80/3,886.32
  6. Step 6: Final answer
    x = 3,077.42

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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.