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Finding the Fourth Proportional to 4,494.79, 6,745.80 and 2,029.83

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Solution

The fourth proportional to 4,494.79, 6,745.80 and 2,029.83 is: 3,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.79 : 6,745.80 = 2,029.83 : x
  2. Step 2: Convert to fraction form
    4,494.79/6,745.80 = 2,029.83/x
  3. Step 3: Cross multiply
    4,494.79x = 6,745.80 × 2,029.83
  4. Step 4: Simplify right side
    4,494.79x = 13,692,798.11
  5. Step 5: Solve for x
    x = 13,692,798.11/4,494.79
  6. Step 6: Final answer
    x = 3,046.37

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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.