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Finding the Fourth Proportional to 4,141.92, 5,713.92 and 2,886.06

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Solution

The fourth proportional to 4,141.92, 5,713.92 and 2,886.06 is: 3,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.92 : 5,713.92 = 2,886.06 : x
  2. Step 2: Convert to fraction form
    4,141.92/5,713.92 = 2,886.06/x
  3. Step 3: Cross multiply
    4,141.92x = 5,713.92 × 2,886.06
  4. Step 4: Simplify right side
    4,141.92x = 16,490,715.96
  5. Step 5: Solve for x
    x = 16,490,715.96/4,141.92
  6. Step 6: Final answer
    x = 3,981.42

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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.