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Finding the Fourth Proportional to 3,394.29, 4,705.82 and 3,274.01

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Solution

The fourth proportional to 3,394.29, 4,705.82 and 3,274.01 is: 4,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.29 : 4,705.82 = 3,274.01 : x
  2. Step 2: Convert to fraction form
    3,394.29/4,705.82 = 3,274.01/x
  3. Step 3: Cross multiply
    3,394.29x = 4,705.82 × 3,274.01
  4. Step 4: Simplify right side
    3,394.29x = 15,406,901.74
  5. Step 5: Solve for x
    x = 15,406,901.74/3,394.29
  6. Step 6: Final answer
    x = 4,539.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.