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Finding the Fourth Proportional to 3,529.68, 5,290.44 and 1,969.32

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Solution

The fourth proportional to 3,529.68, 5,290.44 and 1,969.32 is: 2,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.68 : 5,290.44 = 1,969.32 : x
  2. Step 2: Convert to fraction form
    3,529.68/5,290.44 = 1,969.32/x
  3. Step 3: Cross multiply
    3,529.68x = 5,290.44 × 1,969.32
  4. Step 4: Simplify right side
    3,529.68x = 10,418,569.30
  5. Step 5: Solve for x
    x = 10,418,569.30/3,529.68
  6. Step 6: Final answer
    x = 2,951.70

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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.