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Finding the Fourth Proportional to 3,969.09, 5,957.28 and 3,730.95

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Solution

The fourth proportional to 3,969.09, 5,957.28 and 3,730.95 is: 5,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.09 : 5,957.28 = 3,730.95 : x
  2. Step 2: Convert to fraction form
    3,969.09/5,957.28 = 3,730.95/x
  3. Step 3: Cross multiply
    3,969.09x = 5,957.28 × 3,730.95
  4. Step 4: Simplify right side
    3,969.09x = 22,226,313.82
  5. Step 5: Solve for x
    x = 22,226,313.82/3,969.09
  6. Step 6: Final answer
    x = 5,599.85

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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.