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Finding the Fourth Proportional to 5,170.53, 7,759.25 and 1,838.64

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Solution

The fourth proportional to 5,170.53, 7,759.25 and 1,838.64 is: 2,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.53 : 7,759.25 = 1,838.64 : x
  2. Step 2: Convert to fraction form
    5,170.53/7,759.25 = 1,838.64/x
  3. Step 3: Cross multiply
    5,170.53x = 7,759.25 × 1,838.64
  4. Step 4: Simplify right side
    5,170.53x = 14,266,458.23
  5. Step 5: Solve for x
    x = 14,266,458.23/5,170.53
  6. Step 6: Final answer
    x = 2,759.19

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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.