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Finding the Fourth Proportional to 4,676.60, 6,449.10 and 3,628.28

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Solution

The fourth proportional to 4,676.60, 6,449.10 and 3,628.28 is: 5,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.60 : 6,449.10 = 3,628.28 : x
  2. Step 2: Convert to fraction form
    4,676.60/6,449.10 = 3,628.28/x
  3. Step 3: Cross multiply
    4,676.60x = 6,449.10 × 3,628.28
  4. Step 4: Simplify right side
    4,676.60x = 23,399,140.55
  5. Step 5: Solve for x
    x = 23,399,140.55/4,676.60
  6. Step 6: Final answer
    x = 5,003.45

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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.