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Finding the Fourth Proportional to 3,436.49, 4,742.44 and 2,109.44

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Solution

The fourth proportional to 3,436.49, 4,742.44 and 2,109.44 is: 2,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.49 : 4,742.44 = 2,109.44 : x
  2. Step 2: Convert to fraction form
    3,436.49/4,742.44 = 2,109.44/x
  3. Step 3: Cross multiply
    3,436.49x = 4,742.44 × 2,109.44
  4. Step 4: Simplify right side
    3,436.49x = 10,003,892.63
  5. Step 5: Solve for x
    x = 10,003,892.63/3,436.49
  6. Step 6: Final answer
    x = 2,911.08

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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.