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Finding the Fourth Proportional to 3,158.02, 4,737.72 and 966.92

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Solution

The fourth proportional to 3,158.02, 4,737.72 and 966.92 is: 1,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.02 : 4,737.72 = 966.92 : x
  2. Step 2: Convert to fraction form
    3,158.02/4,737.72 = 966.92/x
  3. Step 3: Cross multiply
    3,158.02x = 4,737.72 × 966.92
  4. Step 4: Simplify right side
    3,158.02x = 4,580,996.22
  5. Step 5: Solve for x
    x = 4,580,996.22/3,158.02
  6. Step 6: Final answer
    x = 1,450.59

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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.