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Finding the Fourth Proportional to 5,736.30, 7,914.15 and 3,641.64

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Solution

The fourth proportional to 5,736.30, 7,914.15 and 3,641.64 is: 5,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.30 : 7,914.15 = 3,641.64 : x
  2. Step 2: Convert to fraction form
    5,736.30/7,914.15 = 3,641.64/x
  3. Step 3: Cross multiply
    5,736.30x = 7,914.15 × 3,641.64
  4. Step 4: Simplify right side
    5,736.30x = 28,820,485.21
  5. Step 5: Solve for x
    x = 28,820,485.21/5,736.30
  6. Step 6: Final answer
    x = 5,024.23

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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.