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Finding the Fourth Proportional to 5,977.48, 8,966.31 and 1,817.68

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Solution

The fourth proportional to 5,977.48, 8,966.31 and 1,817.68 is: 2,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.48 : 8,966.31 = 1,817.68 : x
  2. Step 2: Convert to fraction form
    5,977.48/8,966.31 = 1,817.68/x
  3. Step 3: Cross multiply
    5,977.48x = 8,966.31 × 1,817.68
  4. Step 4: Simplify right side
    5,977.48x = 16,297,882.36
  5. Step 5: Solve for x
    x = 16,297,882.36/5,977.48
  6. Step 6: Final answer
    x = 2,726.55

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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.