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Finding the Fourth Proportional to 5,897, 8,846.94 and 1,793

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Solution

The fourth proportional to 5,897, 8,846.94 and 1,793 is: 2,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897 : 8,846.94 = 1,793 : x
  2. Step 2: Convert to fraction form
    5,897/8,846.94 = 1,793/x
  3. Step 3: Cross multiply
    5,897x = 8,846.94 × 1,793
  4. Step 4: Simplify right side
    5,897x = 15,862,563.42
  5. Step 5: Solve for x
    x = 15,862,563.42/5,897
  6. Step 6: Final answer
    x = 2,689.94

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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.