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Finding the Fourth Proportional to 5,254.75, 7,878.19 and 3,174.32

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Solution

The fourth proportional to 5,254.75, 7,878.19 and 3,174.32 is: 4,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.75 : 7,878.19 = 3,174.32 : x
  2. Step 2: Convert to fraction form
    5,254.75/7,878.19 = 3,174.32/x
  3. Step 3: Cross multiply
    5,254.75x = 7,878.19 × 3,174.32
  4. Step 4: Simplify right side
    5,254.75x = 25,007,896.08
  5. Step 5: Solve for x
    x = 25,007,896.08/5,254.75
  6. Step 6: Final answer
    x = 4,759.10

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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.