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Finding the Fourth Proportional to 4,696.56, 7,044.06 and 2,063.46

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Solution

The fourth proportional to 4,696.56, 7,044.06 and 2,063.46 is: 3,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.56 : 7,044.06 = 2,063.46 : x
  2. Step 2: Convert to fraction form
    4,696.56/7,044.06 = 2,063.46/x
  3. Step 3: Cross multiply
    4,696.56x = 7,044.06 × 2,063.46
  4. Step 4: Simplify right side
    4,696.56x = 14,535,136.05
  5. Step 5: Solve for x
    x = 14,535,136.05/4,696.56
  6. Step 6: Final answer
    x = 3,094.85

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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.