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Finding the Fourth Proportional to 3,908, 5,862.04 and 1,827.38

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Solution

The fourth proportional to 3,908, 5,862.04 and 1,827.38 is: 2,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908 : 5,862.04 = 1,827.38 : x
  2. Step 2: Convert to fraction form
    3,908/5,862.04 = 1,827.38/x
  3. Step 3: Cross multiply
    3,908x = 5,862.04 × 1,827.38
  4. Step 4: Simplify right side
    3,908x = 10,712,174.66
  5. Step 5: Solve for x
    x = 10,712,174.66/3,908
  6. Step 6: Final answer
    x = 2,741.09

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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.