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Finding the Fourth Proportional to 4,991.40, 7,489.14 and 2,069.16

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Solution

The fourth proportional to 4,991.40, 7,489.14 and 2,069.16 is: 3,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.40 : 7,489.14 = 2,069.16 : x
  2. Step 2: Convert to fraction form
    4,991.40/7,489.14 = 2,069.16/x
  3. Step 3: Cross multiply
    4,991.40x = 7,489.14 × 2,069.16
  4. Step 4: Simplify right side
    4,991.40x = 15,496,228.92
  5. Step 5: Solve for x
    x = 15,496,228.92/4,991.40
  6. Step 6: Final answer
    x = 3,104.59

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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.