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Finding the Fourth Proportional to 3,493.79, 4,822.46 and 2,078.48

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Solution

The fourth proportional to 3,493.79, 4,822.46 and 2,078.48 is: 2,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.79 : 4,822.46 = 2,078.48 : x
  2. Step 2: Convert to fraction form
    3,493.79/4,822.46 = 2,078.48/x
  3. Step 3: Cross multiply
    3,493.79x = 4,822.46 × 2,078.48
  4. Step 4: Simplify right side
    3,493.79x = 10,023,403.91
  5. Step 5: Solve for x
    x = 10,023,403.91/3,493.79
  6. Step 6: Final answer
    x = 2,868.92

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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.