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Finding the Fourth Proportional to 5,809.44, 8,713.78 and 1,914.14

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Solution

The fourth proportional to 5,809.44, 8,713.78 and 1,914.14 is: 2,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.44 : 8,713.78 = 1,914.14 : x
  2. Step 2: Convert to fraction form
    5,809.44/8,713.78 = 1,914.14/x
  3. Step 3: Cross multiply
    5,809.44x = 8,713.78 × 1,914.14
  4. Step 4: Simplify right side
    5,809.44x = 16,679,394.85
  5. Step 5: Solve for x
    x = 16,679,394.85/5,809.44
  6. Step 6: Final answer
    x = 2,871.08

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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.