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Finding the Fourth Proportional to 3,899.39, 5,849.09 and 1,302.33

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Solution

The fourth proportional to 3,899.39, 5,849.09 and 1,302.33 is: 1,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.39 : 5,849.09 = 1,302.33 : x
  2. Step 2: Convert to fraction form
    3,899.39/5,849.09 = 1,302.33/x
  3. Step 3: Cross multiply
    3,899.39x = 5,849.09 × 1,302.33
  4. Step 4: Simplify right side
    3,899.39x = 7,617,445.38
  5. Step 5: Solve for x
    x = 7,617,445.38/3,899.39
  6. Step 6: Final answer
    x = 1,953.50

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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.