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Finding the Fourth Proportional to 3,382.96, 5,074.93 and 1,043.17

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Solution

The fourth proportional to 3,382.96, 5,074.93 and 1,043.17 is: 1,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.96 : 5,074.93 = 1,043.17 : x
  2. Step 2: Convert to fraction form
    3,382.96/5,074.93 = 1,043.17/x
  3. Step 3: Cross multiply
    3,382.96x = 5,074.93 × 1,043.17
  4. Step 4: Simplify right side
    3,382.96x = 5,294,014.73
  5. Step 5: Solve for x
    x = 5,294,014.73/3,382.96
  6. Step 6: Final answer
    x = 1,564.91

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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.