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Finding the Fourth Proportional to 5,830.67, 8,747.25 and 1,882.15

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Solution

The fourth proportional to 5,830.67, 8,747.25 and 1,882.15 is: 2,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.67 : 8,747.25 = 1,882.15 : x
  2. Step 2: Convert to fraction form
    5,830.67/8,747.25 = 1,882.15/x
  3. Step 3: Cross multiply
    5,830.67x = 8,747.25 × 1,882.15
  4. Step 4: Simplify right side
    5,830.67x = 16,463,640.46
  5. Step 5: Solve for x
    x = 16,463,640.46/5,830.67
  6. Step 6: Final answer
    x = 2,823.63

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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.