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Finding the Fourth Proportional to 3,294.52, 4,943.23 and 1,214.03

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Solution

The fourth proportional to 3,294.52, 4,943.23 and 1,214.03 is: 1,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.52 : 4,943.23 = 1,214.03 : x
  2. Step 2: Convert to fraction form
    3,294.52/4,943.23 = 1,214.03/x
  3. Step 3: Cross multiply
    3,294.52x = 4,943.23 × 1,214.03
  4. Step 4: Simplify right side
    3,294.52x = 6,001,238.84
  5. Step 5: Solve for x
    x = 6,001,238.84/3,294.52
  6. Step 6: Final answer
    x = 1,821.58

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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.