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Finding the Fourth Proportional to 4,696.65, 7,048.65 and 2,065.97

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Solution

The fourth proportional to 4,696.65, 7,048.65 and 2,065.97 is: 3,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.65 : 7,048.65 = 2,065.97 : x
  2. Step 2: Convert to fraction form
    4,696.65/7,048.65 = 2,065.97/x
  3. Step 3: Cross multiply
    4,696.65x = 7,048.65 × 2,065.97
  4. Step 4: Simplify right side
    4,696.65x = 14,562,299.44
  5. Step 5: Solve for x
    x = 14,562,299.44/4,696.65
  6. Step 6: Final answer
    x = 3,100.57

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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.