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Finding the Fourth Proportional to 3,158.35, 4,737.53 and 967.12

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Solution

The fourth proportional to 3,158.35, 4,737.53 and 967.12 is: 1,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.35 : 4,737.53 = 967.12 : x
  2. Step 2: Convert to fraction form
    3,158.35/4,737.53 = 967.12/x
  3. Step 3: Cross multiply
    3,158.35x = 4,737.53 × 967.12
  4. Step 4: Simplify right side
    3,158.35x = 4,581,760.01
  5. Step 5: Solve for x
    x = 4,581,760.01/3,158.35
  6. Step 6: Final answer
    x = 1,450.68

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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.