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Finding the Fourth Proportional to 5,150.25, 7,107.35 and 3,054.78

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Solution

The fourth proportional to 5,150.25, 7,107.35 and 3,054.78 is: 4,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.25 : 7,107.35 = 3,054.78 : x
  2. Step 2: Convert to fraction form
    5,150.25/7,107.35 = 3,054.78/x
  3. Step 3: Cross multiply
    5,150.25x = 7,107.35 × 3,054.78
  4. Step 4: Simplify right side
    5,150.25x = 21,711,375.36
  5. Step 5: Solve for x
    x = 21,711,375.36/5,150.25
  6. Step 6: Final answer
    x = 4,215.60

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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.