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Finding the Fourth Proportional to 4,616.49, 6,923.96 and 1,496.05

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Solution

The fourth proportional to 4,616.49, 6,923.96 and 1,496.05 is: 2,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.49 : 6,923.96 = 1,496.05 : x
  2. Step 2: Convert to fraction form
    4,616.49/6,923.96 = 1,496.05/x
  3. Step 3: Cross multiply
    4,616.49x = 6,923.96 × 1,496.05
  4. Step 4: Simplify right side
    4,616.49x = 10,358,571.18
  5. Step 5: Solve for x
    x = 10,358,571.18/4,616.49
  6. Step 6: Final answer
    x = 2,243.82

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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.