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Finding the Fourth Proportional to 4,489.49, 6,734.23 and 1,528.23

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Solution

The fourth proportional to 4,489.49, 6,734.23 and 1,528.23 is: 2,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.49 : 6,734.23 = 1,528.23 : x
  2. Step 2: Convert to fraction form
    4,489.49/6,734.23 = 1,528.23/x
  3. Step 3: Cross multiply
    4,489.49x = 6,734.23 × 1,528.23
  4. Step 4: Simplify right side
    4,489.49x = 10,291,418.64
  5. Step 5: Solve for x
    x = 10,291,418.64/4,489.49
  6. Step 6: Final answer
    x = 2,292.34

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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.