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Finding the Fourth Proportional to 5,977.92, 8,966.85 and 1,817.93

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Solution

The fourth proportional to 5,977.92, 8,966.85 and 1,817.93 is: 2,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.92 : 8,966.85 = 1,817.93 : x
  2. Step 2: Convert to fraction form
    5,977.92/8,966.85 = 1,817.93/x
  3. Step 3: Cross multiply
    5,977.92x = 8,966.85 × 1,817.93
  4. Step 4: Simplify right side
    5,977.92x = 16,301,060.79
  5. Step 5: Solve for x
    x = 16,301,060.79/5,977.92
  6. Step 6: Final answer
    x = 2,726.88

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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.