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Finding the Fourth Proportional to 5,286.28, 7,929.10 and 1,999.32

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Solution

The fourth proportional to 5,286.28, 7,929.10 and 1,999.32 is: 2,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.28 : 7,929.10 = 1,999.32 : x
  2. Step 2: Convert to fraction form
    5,286.28/7,929.10 = 1,999.32/x
  3. Step 3: Cross multiply
    5,286.28x = 7,929.10 × 1,999.32
  4. Step 4: Simplify right side
    5,286.28x = 15,852,808.21
  5. Step 5: Solve for x
    x = 15,852,808.21/5,286.28
  6. Step 6: Final answer
    x = 2,998.86

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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.