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Finding the Fourth Proportional to 3,972.93, 5,930.78 and 3,684.50

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Solution

The fourth proportional to 3,972.93, 5,930.78 and 3,684.50 is: 5,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.93 : 5,930.78 = 3,684.50 : x
  2. Step 2: Convert to fraction form
    3,972.93/5,930.78 = 3,684.50/x
  3. Step 3: Cross multiply
    3,972.93x = 5,930.78 × 3,684.50
  4. Step 4: Simplify right side
    3,972.93x = 21,851,933.07
  5. Step 5: Solve for x
    x = 21,851,933.07/3,972.93
  6. Step 6: Final answer
    x = 5,500.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.