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Finding the Fourth Proportional to 5,830.38, 8,745.54 and 5,027.67

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Solution

The fourth proportional to 5,830.38, 8,745.54 and 5,027.67 is: 7,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.38 : 8,745.54 = 5,027.67 : x
  2. Step 2: Convert to fraction form
    5,830.38/8,745.54 = 5,027.67/x
  3. Step 3: Cross multiply
    5,830.38x = 8,745.54 × 5,027.67
  4. Step 4: Simplify right side
    5,830.38x = 43,969,689.09
  5. Step 5: Solve for x
    x = 43,969,689.09/5,830.38
  6. Step 6: Final answer
    x = 7,541.48

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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.