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Finding the Fourth Proportional to 5,119.54, 7,679.31 and 1,657.06

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Solution

The fourth proportional to 5,119.54, 7,679.31 and 1,657.06 is: 2,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.54 : 7,679.31 = 1,657.06 : x
  2. Step 2: Convert to fraction form
    5,119.54/7,679.31 = 1,657.06/x
  3. Step 3: Cross multiply
    5,119.54x = 7,679.31 × 1,657.06
  4. Step 4: Simplify right side
    5,119.54x = 12,725,077.43
  5. Step 5: Solve for x
    x = 12,725,077.43/5,119.54
  6. Step 6: Final answer
    x = 2,485.59

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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.