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Finding the Fourth Proportional to 4,820.20, 7,230.70 and 1,533.20

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Solution

The fourth proportional to 4,820.20, 7,230.70 and 1,533.20 is: 2,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.20 : 7,230.70 = 1,533.20 : x
  2. Step 2: Convert to fraction form
    4,820.20/7,230.70 = 1,533.20/x
  3. Step 3: Cross multiply
    4,820.20x = 7,230.70 × 1,533.20
  4. Step 4: Simplify right side
    4,820.20x = 11,086,109.24
  5. Step 5: Solve for x
    x = 11,086,109.24/4,820.20
  6. Step 6: Final answer
    x = 2,299.93

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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.