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Finding the Fourth Proportional to 5,379.42, 8,084.25 and 3,188.46

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Solution

The fourth proportional to 5,379.42, 8,084.25 and 3,188.46 is: 4,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.42 : 8,084.25 = 3,188.46 : x
  2. Step 2: Convert to fraction form
    5,379.42/8,084.25 = 3,188.46/x
  3. Step 3: Cross multiply
    5,379.42x = 8,084.25 × 3,188.46
  4. Step 4: Simplify right side
    5,379.42x = 25,776,307.76
  5. Step 5: Solve for x
    x = 25,776,307.76/5,379.42
  6. Step 6: Final answer
    x = 4,791.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.