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Finding the Fourth Proportional to 5,156.81, 7,736.07 and 1,693.25

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Solution

The fourth proportional to 5,156.81, 7,736.07 and 1,693.25 is: 2,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.81 : 7,736.07 = 1,693.25 : x
  2. Step 2: Convert to fraction form
    5,156.81/7,736.07 = 1,693.25/x
  3. Step 3: Cross multiply
    5,156.81x = 7,736.07 × 1,693.25
  4. Step 4: Simplify right side
    5,156.81x = 13,099,100.53
  5. Step 5: Solve for x
    x = 13,099,100.53/5,156.81
  6. Step 6: Final answer
    x = 2,540.16

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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.