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Finding the Fourth Proportional to 3,685.67, 5,528.16 and 2,365.95

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Solution

The fourth proportional to 3,685.67, 5,528.16 and 2,365.95 is: 3,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.67 : 5,528.16 = 2,365.95 : x
  2. Step 2: Convert to fraction form
    3,685.67/5,528.16 = 2,365.95/x
  3. Step 3: Cross multiply
    3,685.67x = 5,528.16 × 2,365.95
  4. Step 4: Simplify right side
    3,685.67x = 13,079,350.15
  5. Step 5: Solve for x
    x = 13,079,350.15/3,685.67
  6. Step 6: Final answer
    x = 3,548.71

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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.