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Finding the Fourth Proportional to 3,158.70, 4,738.05 and 967.16

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Solution

The fourth proportional to 3,158.70, 4,738.05 and 967.16 is: 1,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.70 : 4,738.05 = 967.16 : x
  2. Step 2: Convert to fraction form
    3,158.70/4,738.05 = 967.16/x
  3. Step 3: Cross multiply
    3,158.70x = 4,738.05 × 967.16
  4. Step 4: Simplify right side
    3,158.70x = 4,582,428.75
  5. Step 5: Solve for x
    x = 4,582,428.75/3,158.70
  6. Step 6: Final answer
    x = 1,450.73

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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.