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Finding the Fourth Proportional to 3,435.39, 5,140.32 and 2,049.48

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Solution

The fourth proportional to 3,435.39, 5,140.32 and 2,049.48 is: 3,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.39 : 5,140.32 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    3,435.39/5,140.32 = 2,049.48/x
  3. Step 3: Cross multiply
    3,435.39x = 5,140.32 × 2,049.48
  4. Step 4: Simplify right side
    3,435.39x = 10,534,983.03
  5. Step 5: Solve for x
    x = 10,534,983.03/3,435.39
  6. Step 6: Final answer
    x = 3,066.60

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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.