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Finding the Fourth Proportional to 3,899.34, 5,849.01 and 1,707.62

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Solution

The fourth proportional to 3,899.34, 5,849.01 and 1,707.62 is: 2,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.34 : 5,849.01 = 1,707.62 : x
  2. Step 2: Convert to fraction form
    3,899.34/5,849.01 = 1,707.62/x
  3. Step 3: Cross multiply
    3,899.34x = 5,849.01 × 1,707.62
  4. Step 4: Simplify right side
    3,899.34x = 9,987,857.21
  5. Step 5: Solve for x
    x = 9,987,857.21/3,899.34
  6. Step 6: Final answer
    x = 2,561.42

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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.