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Finding the Fourth Proportional to 5,159, 7,728.54 and 3,080.67

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Solution

The fourth proportional to 5,159, 7,728.54 and 3,080.67 is: 4,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159 : 7,728.54 = 3,080.67 : x
  2. Step 2: Convert to fraction form
    5,159/7,728.54 = 3,080.67/x
  3. Step 3: Cross multiply
    5,159x = 7,728.54 × 3,080.67
  4. Step 4: Simplify right side
    5,159x = 23,809,081.32
  5. Step 5: Solve for x
    x = 23,809,081.32/5,159
  6. Step 6: Final answer
    x = 4,615.06

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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.