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Finding the Fourth Proportional to 4,815, 7,225.20 and 4,778.28

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Solution

The fourth proportional to 4,815, 7,225.20 and 4,778.28 is: 7,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815 : 7,225.20 = 4,778.28 : x
  2. Step 2: Convert to fraction form
    4,815/7,225.20 = 4,778.28/x
  3. Step 3: Cross multiply
    4,815x = 7,225.20 × 4,778.28
  4. Step 4: Simplify right side
    4,815x = 34,524,028.66
  5. Step 5: Solve for x
    x = 34,524,028.66/4,815
  6. Step 6: Final answer
    x = 7,170.10

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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.