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Finding the Fourth Proportional to 3,969.64, 5,953.09 and 1,628.99

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Solution

The fourth proportional to 3,969.64, 5,953.09 and 1,628.99 is: 2,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.64 : 5,953.09 = 1,628.99 : x
  2. Step 2: Convert to fraction form
    3,969.64/5,953.09 = 1,628.99/x
  3. Step 3: Cross multiply
    3,969.64x = 5,953.09 × 1,628.99
  4. Step 4: Simplify right side
    3,969.64x = 9,697,490.24
  5. Step 5: Solve for x
    x = 9,697,490.24/3,969.64
  6. Step 6: Final answer
    x = 2,442.92

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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.