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Finding the Fourth Proportional to 5,021.60, 7,524.77 and 3,977.24

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Solution

The fourth proportional to 5,021.60, 7,524.77 and 3,977.24 is: 5,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.60 : 7,524.77 = 3,977.24 : x
  2. Step 2: Convert to fraction form
    5,021.60/7,524.77 = 3,977.24/x
  3. Step 3: Cross multiply
    5,021.60x = 7,524.77 × 3,977.24
  4. Step 4: Simplify right side
    5,021.60x = 29,927,758.72
  5. Step 5: Solve for x
    x = 29,927,758.72/5,021.60
  6. Step 6: Final answer
    x = 5,959.81

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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.