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Finding the Fourth Proportional to 4,800.38, 7,200.56 and 1,152.38

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Solution

The fourth proportional to 4,800.38, 7,200.56 and 1,152.38 is: 1,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.38 : 7,200.56 = 1,152.38 : x
  2. Step 2: Convert to fraction form
    4,800.38/7,200.56 = 1,152.38/x
  3. Step 3: Cross multiply
    4,800.38x = 7,200.56 × 1,152.38
  4. Step 4: Simplify right side
    4,800.38x = 8,297,748.21
  5. Step 5: Solve for x
    x = 8,297,748.21/4,800.38
  6. Step 6: Final answer
    x = 1,728.56

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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.