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Finding the Fourth Proportional to 4,532.72, 6,800.42 and 3,057.84

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Solution

The fourth proportional to 4,532.72, 6,800.42 and 3,057.84 is: 4,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.72 : 6,800.42 = 3,057.84 : x
  2. Step 2: Convert to fraction form
    4,532.72/6,800.42 = 3,057.84/x
  3. Step 3: Cross multiply
    4,532.72x = 6,800.42 × 3,057.84
  4. Step 4: Simplify right side
    4,532.72x = 20,794,603.94
  5. Step 5: Solve for x
    x = 20,794,603.94/4,532.72
  6. Step 6: Final answer
    x = 4,587.67

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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.