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Finding the Fourth Proportional to 3,363.33, 5,045.46 and 1,171.74

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Solution

The fourth proportional to 3,363.33, 5,045.46 and 1,171.74 is: 1,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.33 : 5,045.46 = 1,171.74 : x
  2. Step 2: Convert to fraction form
    3,363.33/5,045.46 = 1,171.74/x
  3. Step 3: Cross multiply
    3,363.33x = 5,045.46 × 1,171.74
  4. Step 4: Simplify right side
    3,363.33x = 5,911,967.30
  5. Step 5: Solve for x
    x = 5,911,967.30/3,363.33
  6. Step 6: Final answer
    x = 1,757.77

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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.