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Finding the Fourth Proportional to 5,157.68, 7,736.88 and 2,236.16

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Solution

The fourth proportional to 5,157.68, 7,736.88 and 2,236.16 is: 3,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.68 : 7,736.88 = 2,236.16 : x
  2. Step 2: Convert to fraction form
    5,157.68/7,736.88 = 2,236.16/x
  3. Step 3: Cross multiply
    5,157.68x = 7,736.88 × 2,236.16
  4. Step 4: Simplify right side
    5,157.68x = 17,300,901.58
  5. Step 5: Solve for x
    x = 17,300,901.58/5,157.68
  6. Step 6: Final answer
    x = 3,354.40

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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.