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Finding the Fourth Proportional to 5,735.57, 7,914.92 and 3,377.84

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Solution

The fourth proportional to 5,735.57, 7,914.92 and 3,377.84 is: 4,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.57 : 7,914.92 = 3,377.84 : x
  2. Step 2: Convert to fraction form
    5,735.57/7,914.92 = 3,377.84/x
  3. Step 3: Cross multiply
    5,735.57x = 7,914.92 × 3,377.84
  4. Step 4: Simplify right side
    5,735.57x = 26,735,276.91
  5. Step 5: Solve for x
    x = 26,735,276.91/5,735.57
  6. Step 6: Final answer
    x = 4,661.32

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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.