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Finding the Fourth Proportional to 4,786.56, 7,174.80 and 2,191.20

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Solution

The fourth proportional to 4,786.56, 7,174.80 and 2,191.20 is: 3,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.56 : 7,174.80 = 2,191.20 : x
  2. Step 2: Convert to fraction form
    4,786.56/7,174.80 = 2,191.20/x
  3. Step 3: Cross multiply
    4,786.56x = 7,174.80 × 2,191.20
  4. Step 4: Simplify right side
    4,786.56x = 15,721,421.76
  5. Step 5: Solve for x
    x = 15,721,421.76/4,786.56
  6. Step 6: Final answer
    x = 3,284.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.