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Finding the Fourth Proportional to 5,954.56, 8,929.19 and 3,180.72

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Solution

The fourth proportional to 5,954.56, 8,929.19 and 3,180.72 is: 4,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.56 : 8,929.19 = 3,180.72 : x
  2. Step 2: Convert to fraction form
    5,954.56/8,929.19 = 3,180.72/x
  3. Step 3: Cross multiply
    5,954.56x = 8,929.19 × 3,180.72
  4. Step 4: Simplify right side
    5,954.56x = 28,401,253.22
  5. Step 5: Solve for x
    x = 28,401,253.22/5,954.56
  6. Step 6: Final answer
    x = 4,769.66

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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.