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Finding the Fourth Proportional to 4,574.97, 6,861.02 and 1,496.25

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Solution

The fourth proportional to 4,574.97, 6,861.02 and 1,496.25 is: 2,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.97 : 6,861.02 = 1,496.25 : x
  2. Step 2: Convert to fraction form
    4,574.97/6,861.02 = 1,496.25/x
  3. Step 3: Cross multiply
    4,574.97x = 6,861.02 × 1,496.25
  4. Step 4: Simplify right side
    4,574.97x = 10,265,793.69
  5. Step 5: Solve for x
    x = 10,265,793.69/4,574.97
  6. Step 6: Final answer
    x = 2,243.90

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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.