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Finding the Fourth Proportional to 3,394.83, 5,090.94 and 1,365.63

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Solution

The fourth proportional to 3,394.83, 5,090.94 and 1,365.63 is: 2,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.83 : 5,090.94 = 1,365.63 : x
  2. Step 2: Convert to fraction form
    3,394.83/5,090.94 = 1,365.63/x
  3. Step 3: Cross multiply
    3,394.83x = 5,090.94 × 1,365.63
  4. Step 4: Simplify right side
    3,394.83x = 6,952,340.39
  5. Step 5: Solve for x
    x = 6,952,340.39/3,394.83
  6. Step 6: Final answer
    x = 2,047.92

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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.