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Finding the Fourth Proportional to 5,164.99, 7,738.98 and 2,696.11

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Solution

The fourth proportional to 5,164.99, 7,738.98 and 2,696.11 is: 4,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.99 : 7,738.98 = 2,696.11 : x
  2. Step 2: Convert to fraction form
    5,164.99/7,738.98 = 2,696.11/x
  3. Step 3: Cross multiply
    5,164.99x = 7,738.98 × 2,696.11
  4. Step 4: Simplify right side
    5,164.99x = 20,865,111.91
  5. Step 5: Solve for x
    x = 20,865,111.91/5,164.99
  6. Step 6: Final answer
    x = 4,039.72

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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.