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Finding the Fourth Proportional to 4,774.72, 7,161.96 and 1,487.80

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Solution

The fourth proportional to 4,774.72, 7,161.96 and 1,487.80 is: 2,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.72 : 7,161.96 = 1,487.80 : x
  2. Step 2: Convert to fraction form
    4,774.72/7,161.96 = 1,487.80/x
  3. Step 3: Cross multiply
    4,774.72x = 7,161.96 × 1,487.80
  4. Step 4: Simplify right side
    4,774.72x = 10,655,564.09
  5. Step 5: Solve for x
    x = 10,655,564.09/4,774.72
  6. Step 6: Final answer
    x = 2,231.66

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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.