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Finding the Fourth Proportional to 4,490.49, 6,735.73 and 1,529.23

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Solution

The fourth proportional to 4,490.49, 6,735.73 and 1,529.23 is: 2,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.49 : 6,735.73 = 1,529.23 : x
  2. Step 2: Convert to fraction form
    4,490.49/6,735.73 = 1,529.23/x
  3. Step 3: Cross multiply
    4,490.49x = 6,735.73 × 1,529.23
  4. Step 4: Simplify right side
    4,490.49x = 10,300,480.39
  5. Step 5: Solve for x
    x = 10,300,480.39/4,490.49
  6. Step 6: Final answer
    x = 2,293.84

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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.