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Finding the Fourth Proportional to 3,899.06, 5,847.96 and 1,432.60

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Solution

The fourth proportional to 3,899.06, 5,847.96 and 1,432.60 is: 2,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.06 : 5,847.96 = 1,432.60 : x
  2. Step 2: Convert to fraction form
    3,899.06/5,847.96 = 1,432.60/x
  3. Step 3: Cross multiply
    3,899.06x = 5,847.96 × 1,432.60
  4. Step 4: Simplify right side
    3,899.06x = 8,377,787.50
  5. Step 5: Solve for x
    x = 8,377,787.50/3,899.06
  6. Step 6: Final answer
    x = 2,148.67

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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.