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Finding the Fourth Proportional to 3,852.57, 5,316.63 and 2,173.86

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Solution

The fourth proportional to 3,852.57, 5,316.63 and 2,173.86 is: 2,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.57 : 5,316.63 = 2,173.86 : x
  2. Step 2: Convert to fraction form
    3,852.57/5,316.63 = 2,173.86/x
  3. Step 3: Cross multiply
    3,852.57x = 5,316.63 × 2,173.86
  4. Step 4: Simplify right side
    3,852.57x = 11,557,609.29
  5. Step 5: Solve for x
    x = 11,557,609.29/3,852.57
  6. Step 6: Final answer
    x = 2,999.97

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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.