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Finding the Fourth Proportional to 3,853.41, 5,317.41 and 2,174.98

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Solution

The fourth proportional to 3,853.41, 5,317.41 and 2,174.98 is: 3,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.41 : 5,317.41 = 2,174.98 : x
  2. Step 2: Convert to fraction form
    3,853.41/5,317.41 = 2,174.98/x
  3. Step 3: Cross multiply
    3,853.41x = 5,317.41 × 2,174.98
  4. Step 4: Simplify right side
    3,853.41x = 11,565,274.75
  5. Step 5: Solve for x
    x = 11,565,274.75/3,853.41
  6. Step 6: Final answer
    x = 3,001.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.