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Finding the Fourth Proportional to 5,825.38, 8,735.91 and 3,156.44

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Solution

The fourth proportional to 5,825.38, 8,735.91 and 3,156.44 is: 4,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.38 : 8,735.91 = 3,156.44 : x
  2. Step 2: Convert to fraction form
    5,825.38/8,735.91 = 3,156.44/x
  3. Step 3: Cross multiply
    5,825.38x = 8,735.91 × 3,156.44
  4. Step 4: Simplify right side
    5,825.38x = 27,574,375.76
  5. Step 5: Solve for x
    x = 27,574,375.76/5,825.38
  6. Step 6: Final answer
    x = 4,733.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.