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Finding the Fourth Proportional to 3,528.49, 5,288.38 and 1,968.41

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Solution

The fourth proportional to 3,528.49, 5,288.38 and 1,968.41 is: 2,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.49 : 5,288.38 = 1,968.41 : x
  2. Step 2: Convert to fraction form
    3,528.49/5,288.38 = 1,968.41/x
  3. Step 3: Cross multiply
    3,528.49x = 5,288.38 × 1,968.41
  4. Step 4: Simplify right side
    3,528.49x = 10,409,690.23
  5. Step 5: Solve for x
    x = 10,409,690.23/3,528.49
  6. Step 6: Final answer
    x = 2,950.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.