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Finding the Fourth Proportional to 5,976.76, 8,249.58 and 3,493.24

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Solution

The fourth proportional to 5,976.76, 8,249.58 and 3,493.24 is: 4,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.76 : 8,249.58 = 3,493.24 : x
  2. Step 2: Convert to fraction form
    5,976.76/8,249.58 = 3,493.24/x
  3. Step 3: Cross multiply
    5,976.76x = 8,249.58 × 3,493.24
  4. Step 4: Simplify right side
    5,976.76x = 28,817,762.84
  5. Step 5: Solve for x
    x = 28,817,762.84/5,976.76
  6. Step 6: Final answer
    x = 4,821.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.