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Finding the Fourth Proportional to 4,650.90, 6,398.03 and 4,081.28

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Solution

The fourth proportional to 4,650.90, 6,398.03 and 4,081.28 is: 5,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.90 : 6,398.03 = 4,081.28 : x
  2. Step 2: Convert to fraction form
    4,650.90/6,398.03 = 4,081.28/x
  3. Step 3: Cross multiply
    4,650.90x = 6,398.03 × 4,081.28
  4. Step 4: Simplify right side
    4,650.90x = 26,112,099.48
  5. Step 5: Solve for x
    x = 26,112,099.48/4,650.90
  6. Step 6: Final answer
    x = 5,614.42

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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.