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Finding the Fourth Proportional to 3,897.63, 5,849.16 and 1,706.97

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Solution

The fourth proportional to 3,897.63, 5,849.16 and 1,706.97 is: 2,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.63 : 5,849.16 = 1,706.97 : x
  2. Step 2: Convert to fraction form
    3,897.63/5,849.16 = 1,706.97/x
  3. Step 3: Cross multiply
    3,897.63x = 5,849.16 × 1,706.97
  4. Step 4: Simplify right side
    3,897.63x = 9,984,340.65
  5. Step 5: Solve for x
    x = 9,984,340.65/3,897.63
  6. Step 6: Final answer
    x = 2,561.64

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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.