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Finding the Fourth Proportional to 3,378.04, 4,662.10 and 2,052.20

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Solution

The fourth proportional to 3,378.04, 4,662.10 and 2,052.20 is: 2,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.04 : 4,662.10 = 2,052.20 : x
  2. Step 2: Convert to fraction form
    3,378.04/4,662.10 = 2,052.20/x
  3. Step 3: Cross multiply
    3,378.04x = 4,662.10 × 2,052.20
  4. Step 4: Simplify right side
    3,378.04x = 9,567,561.62
  5. Step 5: Solve for x
    x = 9,567,561.62/3,378.04
  6. Step 6: Final answer
    x = 2,832.28

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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.