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Finding the Fourth Proportional to 4,193.74, 5,788.17 and 2,777.46

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Solution

The fourth proportional to 4,193.74, 5,788.17 and 2,777.46 is: 3,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.74 : 5,788.17 = 2,777.46 : x
  2. Step 2: Convert to fraction form
    4,193.74/5,788.17 = 2,777.46/x
  3. Step 3: Cross multiply
    4,193.74x = 5,788.17 × 2,777.46
  4. Step 4: Simplify right side
    4,193.74x = 16,076,410.65
  5. Step 5: Solve for x
    x = 16,076,410.65/4,193.74
  6. Step 6: Final answer
    x = 3,833.43

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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.