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Finding the Fourth Proportional to 5,987.67, 8,254.41 and 4,213.77

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Solution

The fourth proportional to 5,987.67, 8,254.41 and 4,213.77 is: 5,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.67 : 8,254.41 = 4,213.77 : x
  2. Step 2: Convert to fraction form
    5,987.67/8,254.41 = 4,213.77/x
  3. Step 3: Cross multiply
    5,987.67x = 8,254.41 × 4,213.77
  4. Step 4: Simplify right side
    5,987.67x = 34,782,185.23
  5. Step 5: Solve for x
    x = 34,782,185.23/5,987.67
  6. Step 6: Final answer
    x = 5,808.97

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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.