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Finding the Fourth Proportional to 4,801.05, 7,202.43 and 1,638.32

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Solution

The fourth proportional to 4,801.05, 7,202.43 and 1,638.32 is: 2,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.05 : 7,202.43 = 1,638.32 : x
  2. Step 2: Convert to fraction form
    4,801.05/7,202.43 = 1,638.32/x
  3. Step 3: Cross multiply
    4,801.05x = 7,202.43 × 1,638.32
  4. Step 4: Simplify right side
    4,801.05x = 11,799,840.91
  5. Step 5: Solve for x
    x = 11,799,840.91/4,801.05
  6. Step 6: Final answer
    x = 2,457.76

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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.