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Finding the Fourth Proportional to 4,170.36, 5,781.40 and 3,948.42

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Solution

The fourth proportional to 4,170.36, 5,781.40 and 3,948.42 is: 5,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.36 : 5,781.40 = 3,948.42 : x
  2. Step 2: Convert to fraction form
    4,170.36/5,781.40 = 3,948.42/x
  3. Step 3: Cross multiply
    4,170.36x = 5,781.40 × 3,948.42
  4. Step 4: Simplify right side
    4,170.36x = 22,827,395.39
  5. Step 5: Solve for x
    x = 22,827,395.39/4,170.36
  6. Step 6: Final answer
    x = 5,473.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.