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Finding the Fourth Proportional to 5,736.96, 7,914.24 and 3,746.70

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Solution

The fourth proportional to 5,736.96, 7,914.24 and 3,746.70 is: 5,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.96 : 7,914.24 = 3,746.70 : x
  2. Step 2: Convert to fraction form
    5,736.96/7,914.24 = 3,746.70/x
  3. Step 3: Cross multiply
    5,736.96x = 7,914.24 × 3,746.70
  4. Step 4: Simplify right side
    5,736.96x = 29,652,283.01
  5. Step 5: Solve for x
    x = 29,652,283.01/5,736.96
  6. Step 6: Final answer
    x = 5,168.64

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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.