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Finding the Fourth Proportional to 4,776.57, 7,162.83 and 1,487.97

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Solution

The fourth proportional to 4,776.57, 7,162.83 and 1,487.97 is: 2,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.57 : 7,162.83 = 1,487.97 : x
  2. Step 2: Convert to fraction form
    4,776.57/7,162.83 = 1,487.97/x
  3. Step 3: Cross multiply
    4,776.57x = 7,162.83 × 1,487.97
  4. Step 4: Simplify right side
    4,776.57x = 10,658,076.16
  5. Step 5: Solve for x
    x = 10,658,076.16/4,776.57
  6. Step 6: Final answer
    x = 2,231.32

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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.