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Finding the Fourth Proportional to 5,311.45, 7,299.82 and 4,130.47

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Solution

The fourth proportional to 5,311.45, 7,299.82 and 4,130.47 is: 5,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.45 : 7,299.82 = 4,130.47 : x
  2. Step 2: Convert to fraction form
    5,311.45/7,299.82 = 4,130.47/x
  3. Step 3: Cross multiply
    5,311.45x = 7,299.82 × 4,130.47
  4. Step 4: Simplify right side
    5,311.45x = 30,151,687.52
  5. Step 5: Solve for x
    x = 30,151,687.52/5,311.45
  6. Step 6: Final answer
    x = 5,676.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.