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Finding the Fourth Proportional to 4,290.92, 5,949.23 and 4,146.92

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Solution

The fourth proportional to 4,290.92, 5,949.23 and 4,146.92 is: 5,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.92 : 5,949.23 = 4,146.92 : x
  2. Step 2: Convert to fraction form
    4,290.92/5,949.23 = 4,146.92/x
  3. Step 3: Cross multiply
    4,290.92x = 5,949.23 × 4,146.92
  4. Step 4: Simplify right side
    4,290.92x = 24,670,980.87
  5. Step 5: Solve for x
    x = 24,670,980.87/4,290.92
  6. Step 6: Final answer
    x = 5,749.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.