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Finding the Fourth Proportional to 4,493.99, 6,774.64 and 4,192.94

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Solution

The fourth proportional to 4,493.99, 6,774.64 and 4,192.94 is: 6,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.99 : 6,774.64 = 4,192.94 : x
  2. Step 2: Convert to fraction form
    4,493.99/6,774.64 = 4,192.94/x
  3. Step 3: Cross multiply
    4,493.99x = 6,774.64 × 4,192.94
  4. Step 4: Simplify right side
    4,493.99x = 28,405,659.04
  5. Step 5: Solve for x
    x = 28,405,659.04/4,493.99
  6. Step 6: Final answer
    x = 6,320.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.