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Finding the Fourth Proportional to 3,791.47, 5,684.77 and 2,618.19

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Solution

The fourth proportional to 3,791.47, 5,684.77 and 2,618.19 is: 3,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.47 : 5,684.77 = 2,618.19 : x
  2. Step 2: Convert to fraction form
    3,791.47/5,684.77 = 2,618.19/x
  3. Step 3: Cross multiply
    3,791.47x = 5,684.77 × 2,618.19
  4. Step 4: Simplify right side
    3,791.47x = 14,883,807.97
  5. Step 5: Solve for x
    x = 14,883,807.97/3,791.47
  6. Step 6: Final answer
    x = 3,925.60

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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.