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Finding the Fourth Proportional to 4,817, 7,225.86 and 2,736.20

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Solution

The fourth proportional to 4,817, 7,225.86 and 2,736.20 is: 4,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817 : 7,225.86 = 2,736.20 : x
  2. Step 2: Convert to fraction form
    4,817/7,225.86 = 2,736.20/x
  3. Step 3: Cross multiply
    4,817x = 7,225.86 × 2,736.20
  4. Step 4: Simplify right side
    4,817x = 19,771,398.13
  5. Step 5: Solve for x
    x = 19,771,398.13/4,817
  6. Step 6: Final answer
    x = 4,104.50

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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.