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Finding the Fourth Proportional to 3,926.50, 5,881.86 and 2,365.62

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Solution

The fourth proportional to 3,926.50, 5,881.86 and 2,365.62 is: 3,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.50 : 5,881.86 = 2,365.62 : x
  2. Step 2: Convert to fraction form
    3,926.50/5,881.86 = 2,365.62/x
  3. Step 3: Cross multiply
    3,926.50x = 5,881.86 × 2,365.62
  4. Step 4: Simplify right side
    3,926.50x = 13,914,245.65
  5. Step 5: Solve for x
    x = 13,914,245.65/3,926.50
  6. Step 6: Final answer
    x = 3,543.68

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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.