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Finding the Fourth Proportional to 5,933.61, 8,188.11 and 3,415.80

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Solution

The fourth proportional to 5,933.61, 8,188.11 and 3,415.80 is: 4,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.61 : 8,188.11 = 3,415.80 : x
  2. Step 2: Convert to fraction form
    5,933.61/8,188.11 = 3,415.80/x
  3. Step 3: Cross multiply
    5,933.61x = 8,188.11 × 3,415.80
  4. Step 4: Simplify right side
    5,933.61x = 27,968,946.14
  5. Step 5: Solve for x
    x = 27,968,946.14/5,933.61
  6. Step 6: Final answer
    x = 4,713.65

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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.