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Finding the Fourth Proportional to 5,119.32, 7,676.24 and 1,608.67

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Solution

The fourth proportional to 5,119.32, 7,676.24 and 1,608.67 is: 2,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.32 : 7,676.24 = 1,608.67 : x
  2. Step 2: Convert to fraction form
    5,119.32/7,676.24 = 1,608.67/x
  3. Step 3: Cross multiply
    5,119.32x = 7,676.24 × 1,608.67
  4. Step 4: Simplify right side
    5,119.32x = 12,348,537.00
  5. Step 5: Solve for x
    x = 12,348,537.00/5,119.32
  6. Step 6: Final answer
    x = 2,412.14

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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.