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Finding the Fourth Proportional to 3,234.90, 4,838.85 and 2,946.54

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Solution

The fourth proportional to 3,234.90, 4,838.85 and 2,946.54 is: 4,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.90 : 4,838.85 = 2,946.54 : x
  2. Step 2: Convert to fraction form
    3,234.90/4,838.85 = 2,946.54/x
  3. Step 3: Cross multiply
    3,234.90x = 4,838.85 × 2,946.54
  4. Step 4: Simplify right side
    3,234.90x = 14,257,865.08
  5. Step 5: Solve for x
    x = 14,257,865.08/3,234.90
  6. Step 6: Final answer
    x = 4,407.51

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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.