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Finding the Fourth Proportional to 8,498.16, 12,749.49 and 2,951.49

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Solution

The fourth proportional to 8,498.16, 12,749.49 and 2,951.49 is: 4,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.16 : 12,749.49 = 2,951.49 : x
  2. Step 2: Convert to fraction form
    8,498.16/12,749.49 = 2,951.49/x
  3. Step 3: Cross multiply
    8,498.16x = 12,749.49 × 2,951.49
  4. Step 4: Simplify right side
    8,498.16x = 37,629,992.24
  5. Step 5: Solve for x
    x = 37,629,992.24/8,498.16
  6. Step 6: Final answer
    x = 4,428.02

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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.