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Finding the Fourth Proportional to 5,905.90, 8,148.94 and 4,489.20

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Solution

The fourth proportional to 5,905.90, 8,148.94 and 4,489.20 is: 6,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.90 : 8,148.94 = 4,489.20 : x
  2. Step 2: Convert to fraction form
    5,905.90/8,148.94 = 4,489.20/x
  3. Step 3: Cross multiply
    5,905.90x = 8,148.94 × 4,489.20
  4. Step 4: Simplify right side
    5,905.90x = 36,582,221.45
  5. Step 5: Solve for x
    x = 36,582,221.45/5,905.90
  6. Step 6: Final answer
    x = 6,194.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.