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Finding the Fourth Proportional to 3,400.63, 5,092.64 and 2,009.81

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Solution

The fourth proportional to 3,400.63, 5,092.64 and 2,009.81 is: 3,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.63 : 5,092.64 = 2,009.81 : x
  2. Step 2: Convert to fraction form
    3,400.63/5,092.64 = 2,009.81/x
  3. Step 3: Cross multiply
    3,400.63x = 5,092.64 × 2,009.81
  4. Step 4: Simplify right side
    3,400.63x = 10,235,203.29
  5. Step 5: Solve for x
    x = 10,235,203.29/3,400.63
  6. Step 6: Final answer
    x = 3,009.80

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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.