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Finding the Fourth Proportional to 3,494.05, 4,821.24 and 2,001.68

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Solution

The fourth proportional to 3,494.05, 4,821.24 and 2,001.68 is: 2,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.05 : 4,821.24 = 2,001.68 : x
  2. Step 2: Convert to fraction form
    3,494.05/4,821.24 = 2,001.68/x
  3. Step 3: Cross multiply
    3,494.05x = 4,821.24 × 2,001.68
  4. Step 4: Simplify right side
    3,494.05x = 9,650,579.68
  5. Step 5: Solve for x
    x = 9,650,579.68/3,494.05
  6. Step 6: Final answer
    x = 2,762.00

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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.