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Finding the Fourth Proportional to 5,977.14, 8,965.70 and 1,817.13

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Solution

The fourth proportional to 5,977.14, 8,965.70 and 1,817.13 is: 2,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.14 : 8,965.70 = 1,817.13 : x
  2. Step 2: Convert to fraction form
    5,977.14/8,965.70 = 1,817.13/x
  3. Step 3: Cross multiply
    5,977.14x = 8,965.70 × 1,817.13
  4. Step 4: Simplify right side
    5,977.14x = 16,291,833.36
  5. Step 5: Solve for x
    x = 16,291,833.36/5,977.14
  6. Step 6: Final answer
    x = 2,725.69

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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.