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Finding the Fourth Proportional to 4,696.56, 7,044.24 and 1,234.08

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Solution

The fourth proportional to 4,696.56, 7,044.24 and 1,234.08 is: 1,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.56 : 7,044.24 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    4,696.56/7,044.24 = 1,234.08/x
  3. Step 3: Cross multiply
    4,696.56x = 7,044.24 × 1,234.08
  4. Step 4: Simplify right side
    4,696.56x = 8,693,155.70
  5. Step 5: Solve for x
    x = 8,693,155.70/4,696.56
  6. Step 6: Final answer
    x = 1,850.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.