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Finding the Fourth Proportional to 4,198.88, 5,794.08 and 2,430.92

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Solution

The fourth proportional to 4,198.88, 5,794.08 and 2,430.92 is: 3,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.88 : 5,794.08 = 2,430.92 : x
  2. Step 2: Convert to fraction form
    4,198.88/5,794.08 = 2,430.92/x
  3. Step 3: Cross multiply
    4,198.88x = 5,794.08 × 2,430.92
  4. Step 4: Simplify right side
    4,198.88x = 14,084,944.95
  5. Step 5: Solve for x
    x = 14,084,944.95/4,198.88
  6. Step 6: Final answer
    x = 3,354.45

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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.