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Finding the Fourth Proportional to 4,776.10, 7,164.79 and 1,489.52

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Solution

The fourth proportional to 4,776.10, 7,164.79 and 1,489.52 is: 2,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.10 : 7,164.79 = 1,489.52 : x
  2. Step 2: Convert to fraction form
    4,776.10/7,164.79 = 1,489.52/x
  3. Step 3: Cross multiply
    4,776.10x = 7,164.79 × 1,489.52
  4. Step 4: Simplify right side
    4,776.10x = 10,672,112.19
  5. Step 5: Solve for x
    x = 10,672,112.19/4,776.10
  6. Step 6: Final answer
    x = 2,234.48

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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.